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Cabri Geometry II

1. 2 Click to create or select the initial endpoint of the Create the initial point segment P d th 3 Move the pointer to the location for the final Create the final point endpoint of the segment and click to create or select the final endpoint Example Select the initial point Point to the object Create the final point Note See Regular Polygon in this chapter for more information on creating the regular pentagon in the above figures Modifying a segment Change a segment by dragging either endpoint Translate a segment by grabbing away from the endpoints and dragging it 5 4 Chapter 5 Using the Lines Toolbox Copying permitted provided TI copyright notice is included 1997 1999 Texas Instruments Incorporated The Ray tool creates a ray defined by an initial endpoint and extending infinitely in a specified direction Note You can constrain the slope to 15 degree increments by pressing the SHIFT key when creating or modifying a ray Creating a ray 1 Select Ray from the Lines toolbox 2 Clickto create or select the initial endpoint of the ray 9 Position the ray in the desired orientation and click to specify direction and slope If the ray is created in free space a point is not created If the ray is not in free space it is attached to a second point Modifying a ray Translate a ray without changing its direction and slope by selecting the Pointer tool from the Pointer toolbo
2. 1997 1999 Texas Instruments Incorporated Changing the Appearance of Objects You can change the appearance of objects from the Attributes toolbar or the Draw toolbox Access the Attributes toolbar from the Hide Show Attributes command in the Options menu In the Draw toolbox use the Fill Thick Dotted or Modify Appearance tools To apply attributes from tools in the Draw menu select the tool and then select the object to be modified To use an option from the Attributes toolbar first select the objects to be modified and then select the attribute Labeling objects You can label points in two ways as you create them or with the Label tool in the Display toolbox Labeling objects as they are created is intended for quick access and is limited to five alphanumeric characters Editing is not available at this stage However after constructing the object you can edit the label with the Label tool Example Ta Adding labels during construction 1 Select Triangle from the Lines toolbox 2 Clickon the drawing window Then type A A point appears with a label A beside it 3 Move the click once and then type B Another point a segment connecting the two points and a label B appear 4 Move the Y to a new position click once and type C The completed triangle appears as well as the label C beside the last point created E C The Label tool in the Display toolbox allows you to attach labels to a point line
3. Angle m Degree moe 4 v Circle urg rannut 0 biher 7 Lans ey E Other 2 Mi Dod ell Unite Selection Length tentimat E DOS only Factory Settings jg New Objects Pagie Ered gri F E Show Djerba Tutbary Tettlin gs papal Save to file OK Close O faue o fiie Keep as defaults Loci options This option applies to all loci constructed in the drawing The Locus tool performs a linear interpolation of the loci calculated Therefore the more objects in the locus the smoother it will appear You can change this number in this dialog box for the default setting or for a specific locus by selecting the locus and then changing the values in this dialog You can also change the number of objects in the locus by selecting the locus and then pressing or on the keyboard to increase or decrease the number of objects Selecting the Link points option connects adjacent points with a solid line Selecting the Envelope option draws only the envelope of a line as the locus rather than the locus of the line Coordinate System The default coordinate system can be set up for Cartesian or polar coordinates Displayed Precision Select the precision of the units displayed Cabri Geometry II always uses the maximum precision of the Macintosh when measuring objects You can display additional precision by using Numerical Edit in the Display
4. Copying permitted provided TI copyright notice is included 1997 1999 Texas Instruments Incorporated
5. Chapter 7 Using the Construct Toolbox 7 9 O 1997 1999 Texas Instruments Incorporated Measurement Transfer Continued Example Select a Position the point and click The numerical value Select a point points are 2 5 cm apart e ES 25 shy This number xd Modifying a measurement transfer Modify the constructed point by changing the measurement or numerical value The point cannot be translated directly O 1997 1999 Texas Instruments Incorporated The Locus tool creates a set of objects defined by the movement of a point along a path When you select a point on a path object the locus is completely constructed and is considered a defined object As such points can be attached When you modify an object that defines a locus the locus is recalculated and continuously displayed to show the effects of the modifications With defaults set a locus is constructed with 30 Macintosh or 50 Windows DOS objects equally spaced along the designated path You can change this setting using Preferences in the Options menu Choices for connecting locus points and constructing the envelope of a line are also available under Preferences See Options Menu in the chapter Using the Menus for more information As an alternate method for changing the number of objects that define the locus you can select the locus and then press or to increase or decrease the number of objects that define the displayed locus Creating a locus
6. Wis TEXAS INSTRUMENTS Guidebook for Macintosh Windows and MS DOS Important Texas Instruments makes no warranty either expressed or implied including but not limited to any implied warranties of merchantability and fitness for a particular purpose regarding any programs or book materials and makes such materials available solely on an as is basis In no event shall Texas Instruments be liable to anyone for special collateral incidental or consequential damages in connection with or arising out of the purchase or use of these materials and the sole and exclusive liability of Texas Instruments regardless of the form of action shall not exceed the purchase price of this equipment Moreover Texas Instruments shall not be liable for any claim of any kind whatsoever against the use of these materials by any other party Permission to Print Permission is hereby granted to teachers to reprint or photocopy in classroom workshop or seminar quantities the pages or sheets in this work that carry a Texas Instruments copyright notice These pages are designed to be reproduced by teachers for use in their classes workshops or seminars with the accompanying Cabri Geometry II software provided each copy made shows the copyright notice Such copies may not be sold and further distribution is expressly prohibited Except as authorized above prior written permission must be obtained from Texas Instruments Incorporated to reproduce or
7. First Steps t eben Steam P Sd idea ee A desc po Evo ved 1 2 Constructing ObJecls 4 usce prb a A A RE ARE TEREA Wd 1 10 CHAPTER 2 USING THE MENUS se cece eee es 2 1 Igi MON mM 2 2 Edit Menu A se e RRRERRRERR RRRCNEPPRTERE LLEERE RR OneCCERES EE RR Rs 2 5 Options Menu uti Dee tea ep v esq ax Aat DAA be X a esee Peale 2 7 Help Menu siio tetro i bu oa ae ee 2 12 IMEEM PRETI II A ORO 3 3 Point on Object a Cee a is 4 3 Intersection POINT S iria tas 4 4 A 5 2 A A O AN 54 RY en A A A A e A a nk PAE BR a ee oe 5 5 V CUOF iii GARI PIRE a EET dd de Sad ES Woda a EO EEE ire dE EE 5 6 Triangle 22 heeRRLRREEPP ERR E oe HER REA LOE DOS Nd doa A ERI ex ed iu S lad de ae eS 5 7 POISON MCN ERE cep ah EA aie Sy did dad ade adi s 5 8 Regular Polygon cirios y HR Sed Sit a dae LAA ee eed bedded rad 5 9 Copying permitted provided TI copyright notice is included iii O 1997 1999 Texas Instruments Incorporated CHAPTER 7 USING THE CONSTRUCT TOOLBOX 7 1 Perpendicular Line 4 iiilooce koe sk de IX E REN Gad He OPERI a RR Y 72 Partall DIME A A A tada 7 3 Midpoint iii aa 7 4 Perpendicular Bisectr lt 5 6263604 44 40onb bare dd ond deg 7 5 Angle BISectoE is etes eer be hs serre Aa tea Aas Hema 7 6 Vector SUM sssi A it a Va Ma dhe S Shel die ida cu cis 7 7 COMPASS vies talc saci eae at ine puteos eddies ere 7 8 Measurement Transfer loco iles a E E I
8. If your specific printer is not in this list select a printer that may be similar Note The print quality setting that you select may affect the throughput of your printer Allow ample time for high quality printer settings IBM Epson 9 pin DeskJet 500C CYM IBM Epson 24 pin e DeskJet 500C RGB Epson Stylus Color LaserJet HP e DeskJet 500 e Proprinter XL Print DOS The size of the drawing window in which you build a geometric construction is one meter by one meter Print lets you view this entire region before printing your construction The entire figure with the exception of text or measurement is displayed A small window represents the portion of your construction that will be printed The construction cannot be manipulated at this stage but you can position the window anywhere within the one square meter limits of the construction Drag the window to move it to a new section of your construction Click OK or Cancel to accept or cancel the operation Clicking on OK sends the screen image to your printer Quit Keyboard shortcut COMMAND Q Macintosh CTRL Q Windows DOS The Quit command closes all open files and quits Cabri Geometry II It gives you the opportunity to save changed or unsaved files 2 4 Chapter 2 Using the Menus Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated The Edit menu contains commands that relate to modifying the construction se
9. Learning the Basics Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated Chapter 2 Using the Menus The Cabri Geometry II menus contain standard graphic user interface functions for file management and editing plus options for Cabri Geometry II They are located on the menu bar at the top of the Cabri Geometry II window The following menu options are available Each option is discussed in this chapter in detail according to its order on the pull down menus FILE MENU EDIT MENU OPTIONS MENU HELP New Undo Redo Show Hide Help Open Cut Attributes Windows DOS Close Copy Defaults Macintosh Save Paste Preferences About Cabri II a a I molan Revert Select all Languages Show Drawing Select all Font i T I PNE Size ad Refresh Drawing Style Printer Setup Print Quit Note Macintosh only 2DOS only 3Windows only Macintosh DOS only Macintosh Windows only Copying permitted provided TI copyright notice is included Chapter 2 Using the Menus 2 1 1997 1999 Texas Instruments Incorporated The File menu contains commands that relate to opening closing saving printing and viewing Cabri Geometry II constructions A description of each item in the File menu as it relates to Cabri Geometry II is given below Consult your Macintosh Windows or DOS User s Guide for more information on the following menu items New Open Close Save Save as
10. Page Printer Setup Print and Quit New Keyboard shortcut COMMAND N Macintosh CTRL N Windows DOS The New command opens a new blank Cabri Geometry II drawing window For the Macintosh and Windows versions the window appears on top of all other windows and is the active window The window is not assigned a name until you save it using Save or Save as For the DOS version only one drawing window at a time is displayed Therefore you are prompted to save your current drawing before the new drawing window takes effect Open Keyboard shortcut COMMAND 0 Macintosh CTRL 0 Windows DOS The Open command generates a dialog box for opening an existing construction file macro tool configuration file preference file or TI 92 file Use the dialog box to specify the folder and file to open A construction file is displayed with the view that was visible when the file was last saved You can view a summary of the steps used to create the construction interactively by selecting Replay Construction in the Edit menu A macro appears in the Macro toolbox and may be used immediately in the construction A tool configuration file immediately alters the Cabri Geometry II tool configuration as defined in the file See Tool Configuration in the Options menu for more information A preference file immediately alters Cabri Geometry II preferences as defined in the file See Preferences in the Options menu for more information Close Key
11. and then almost immediately to the Continue to hold down the mouse and move the triangle about the drawing window The triangle does not change its size or its shape while the perpendicular bisector moves along with the triangle The triangle was constructed using three basic points as its vertices therefore it is an independent object and can be moved Dependent objects Move the near the perpendicular bisector the cursor changes to the with the message This line Press and hold down the mouse button The cursor changes to the and then almost immediately back to the The perpendicular bisector cannot be modified directly it is a dependent object Note You can modify the perpendicular bisector indirectly by dragging the basic points or the independent objects used for its creation Example 4 Creating the circumcenter of a triangle Construct the perpendicular bisector of one side of a triangle see Example 2 Construct the perpendicular bisector of a second side This line Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated 9 Choose Intersection Point s from the Points toolbox 4 Pointto one of the perpendicular bisectors the cursor message This line appears and click once The line changes to marquee outline 5 Pointto the other perpendicular bisector After the cursor message appears click once The first lin
12. circular or cross Angle marks one two or three tick marks Segments zero one two or three tick marks Coordinate system Cartesian or polar coordinates Polar coordinates can be represented in degrees gradients or radians Select corresponding objects Comments transparent without border opaque without border transparent with border or opaque with border 9 Select the object you want to appear with the selected attribute t Example 1 Select the polar coordinate attribute 3 Coordinate system changes to polar 2 Select the xy coordinate system ty These axes 1 1 X i gt i X Copying permitted provided TI copyright notice is included Chapter 13 Using the Draw Toolbox 13 7 1997 1999 Texas Instruments Incorporated The Show Hide Axes tool displays the default axes This command toggles between Show Axes and Hide Axes If the axes are visible the Hide Axes tool appears in the toolbox if not the Show Axes tool appears Equations and coordinates adhere to the specified coordinate system Measurements of length area slope and angle are given relative to their physical measure The default coordinate system is defined in one centimeter increments which corresponds to the physical measure you see The coordinate system may be either Cartesian or polar You can change the system by using the Modify Appearance tool setting the defaults in the Options menu or selecting the axes
13. toolbox Default Units Select the units you want when measuring objects The default unit for length also specifies the unit for area Equation Formats Select the equation formats you desire from the option listed for lines circles and conics Some formats for conics may not be possible for all conics that can be constructed Presentation Font This DOS version option doubles the size of the text font for readability e g for presentations Keyboard shortcut CTRL D 2 8 Chapter 2 Using the Menus Copying permitted provided TI copyright notice is included 1997 1999 Texas Instruments Incorporated Geometry This Windows version option lets you select if points should be implicitly defined and if objects should be drawn to infinity Default Styles This Windows version option lets you choose colors and font options for all toolbar commands System options This Windows version option lets you set the following gt Bitmap Copy O Enhanced MetaFile format EMF for 32 bit versions of Windows for high quality smooth lines Zi Supports only bit mapped format BMP which is optional for Windows 95 and required for Windows 3 1x gt System Pallet Defines the color palette to use when Cabri is in the background and the palette is changed by another application U Cabri colors will change when another option is brought to the foreground Y Cabri uses only colors present in the default system palette gt Disable Undo C Un
14. window to place the result Editing a calculation l Select the result with the Numerical Edit tool On the Macintosh click on the Calc button You must point to the number You can also select the Calculate tool and double click the result composition to the edit window The composition of the result is displayed in the calculator edit window Note The display attributes options in the Windows version are determined in the Options Preferences Default Styles dialog box These options are not available in the DOS version Edit the composition as described above in Entering a calculation 11 10 Chapter 11 Using the Measure Toolbox Enter an expression A i Or Cances ters Inv SIN COS TAN Select tke button to display the result k Click to place the result Result 7 104 cm Height 3 07 cm B Base 4 63 cm a Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated The Tabulate tool collects selected measurements calculations and numerical values into a single data table You must define the table before values can be entered When you select values for tabulation they are entered into the next available column of the table If the value has a label comment it is copied into the first row of the column and the value is copied into the next available row If the value does not have a label comment the first r
15. 1 Select Locus from the Construct toolbox 2 Selectthe object for the locus Preconstructed objects Select the object e 3 Select a point that lies on a path Select a point on a path Note A path is any defined object on which a point can be placed As its center travels around the first circle the locus of a second circle through a point on a circle is constructed gt Copying permitted provided TI copyright notice is included Chapter 7 Using the Construct Toolbox 7 11 O 1997 1999 Texas Instruments Incorporated Locus Continued Modifying a locus Modify a locus by changing its defining objects Example Take the locus of the segment as one Construct an Attach a segment to a of its endpoints travels around the ellipse conic new point on the ellipse ellipse 7 12 Chapter 7 Using the Construct Toolbox Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated The Redefine Point tool modifies the current definition of any point as long as the new definition does not create a circular reference A circular reference occurs when a point that defines an object is redefined to be on that object An example is defining the center point of a circle to be a point on the circle This is not allowed Redefining a point 1 Select Redefine Point from the Construct toolbox 2 Press and hold the mouse down on any point Attach an existing segment to a
16. 7 objects 3 2 preferences 2 7 selection hand pointer 1 10 selection pencil pointer 1 10 selection pointer description 1 7 setting preferences 2 7 Show Drawing command 2 3 Show Hide Attributes command 2 7 Show Hide Axes tool 13 8 size box description 1 7 Size command 2 11 Slope tool 11 4 specifying axes 13 8 final objects 9 4 initial objects 9 3 macros 9 6 starting the program 1 3 status checking 1 5 storing a macro in memory 9 2 9 5 Style command 2 11 2 12 Symmetry tool 8 3 system requirements 1 2 T table dimensions using Tabulate 11 11 Tabulate tool adding values 11 12 description 11 11 sizing and deleting columns 11 13 using tabulate 11 12 Thick tool 13 5 Tool Configuration command 2 9 Toolbar description 1 7 Index 4 toolboxes Check Property 10 1 Construct 7 1 Curves 6 1 Display 12 1 Draw 13 1 Lines 5 1 Macro 9 1 Measure 11 1 Pointer 3 1 Points 4 1 Transform 8 1 Trace On Off tool 12 9 tracing an object 12 9 Transform toolbox 8 1 translating lines 5 2 objects 8 4 rays 5 5 segments 5 4 vectors constructed 5 6 Translation tool 8 4 Triangle tool 5 7 U Undo command 1 17 2 5 using the software on a network 1 3 V Vector Sum tool 7 7 Vector tool 5 6 viewing font sizes 2 11 installed fonts 2 11 text styles 2 11 viewing an entire region 2 3 viewing available system memory 1 4 Z zoom box description 1 7
17. Construct a triangle and label its vertices A B and C 3 Select Area from the Measure toolbox 4 Move the cursor to a side of the triangle until it changes A to the y the cursor message This triangle appears and click once triangle Depending on the triangle and the default settings a number and units label such as 4 520 cm2 appears B t 5 Begin typing the comment Area of ABC The comment attaches to the left side of the measurement 6 Select Comments from the Display toolbox 7 Move the near the area the cursor message Edit this text appears and the cursor changes to the 1 Click once and an edit box appears with the value of the area and the comment entered in step 5 on the text line NM 8 Move the cursor between ot and ABC in the text line and add the word triangle The text now reads Area of triangle ABC 4 520 cm 9 Click on the toolbar or press ESC to make the edit box A disappear leaving the comment on the drawing window Area of triangle ABC 4 520 cm Copying permitted provided TI copyright notice is included Chapter1 Learning the Basics 1 21 O 1997 1999 Texas Instruments Incorporated Constructing Objects Continued 1 22 Scrolling the drawing window You can scroll the drawing window within a one square meter region by three methods gt Use the Show Drawing command in the File menu to view the entire one square meter region in compressed
18. Macintosh Windows Scroll bars Macintosh Windows The toolbar contains tools for building constructions Eleven toolboxes reside on the toolbar see illustration below To access a toolbox press and hold the mouse button on the icon The items in that toolbox appear Pointer Points Lines Curves Construct Transform Macro The attribute icons are not displayed unless you select the Show Attributes command in the Options menu on the menu bar These allow you to modify the appearance of objects You can create an attribute palette tear off menu by dragging an icon from the attribute icons to the drawing window Clicking on the help icon 2 creates a help window at the bottom of your screen that contains useful help messages for each command Clicking on the again removes the help window Clicking on the Help menu option and selecting Help or pressing the F1 key toggles the help window ON and OFF The selection pointer is the primary tool for selecting menus and building constructions The shape of the pointer changes according to its current operation and location The close box closes the window and creates a dialog box that allows you to save your work if you have not done so The zoom box toggles the size of the window between the current size and the full screen size Dragging the size box to a new location resizes the drawing window Clicking in the scroll bars or on the scroll arrows moves the cont
19. O 1997 1999 Texas Instruments Incorporated Index A adjusting your system configuration 1 4 ambiguities handling 1 12 Angle tool 11 5 animating an object 12 10 Animation tool 12 10 Arc tool 6 3 Area tool 11 3 arrow pointer 1 10 attribute icons description 1 7 Automatic button using to configure memory 1 4 automatic data collection 11 11 C Calculate tool 11 7 calculating measurements 11 7 through 11 10 changing appearance of objects 1 19 color of an object 13 3 column width 11 13 constructed lines 5 3 direction and slope of a constructed ray 5 5 language 2 10 memory allocation 1 4 outline patterns 13 6 outline thickness 13 5 system configuration 1 4 Check Property toolbox 10 1 checking angles 11 5 areas 11 3 collinearity 10 2 equation or coordinates 11 6 equidistant property 10 5 membership 10 6 parallelism 10 3 perpendicularity 10 4 slopes 11 4 Circle tool 6 2 Clear command 2 5 close box description 1 7 Close command 2 2 closing the active drawing window 2 2 closing the program 2 4 Collinear tool 10 2 Color tool 13 3 column width pointer 1 10 Comments tool 12 3 Compass tool 7 8 configuring memory setting 1 5 number of objects 1 5 number of screen colors 1 5 toolbar tools 2 9 Conic tool 6 4 Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated constraining the slope of a line 5 2 Construct toolb
20. Rotate from the Pointer toolbox 2 Rotating about the geometric center Select an object Drag object in a circular path not a point and drag it in a circular motion Note Pressing the SHIFT key while dragging rotates the object in 15 degree increments Rotating about a defined point Select a desired rotation point and drag the object around the point Select a rotation point Deselect the rotation point by clicking once in free space Note You can rotate an object automatically by using the Animation tool when the Rotate tool is visible on the toolbar See the chapter Using the Display Toolbox for more information about Animation de This point Drag object in a circular path Copying permitted provided TI copyright notice is included Chapter 3 Using the Pointer Toolbox 3 3 1997 1999 Texas Instruments Incorporated The Dilate tool expands or contracts an object about its geometric center or relative to a defined point in a freehand manner Dilating objects l Select Dilate from the Pointer toolbox 2 Dilating about the geometric center Select an object Drag object along a linear path not a point and drag it away from its center to expand or toward its center to contract Note Dragging an object through its center causes a negative dilation Dilating about a defined point Select a desired dilation point and drag the object not the point in a linear motion Select a di
21. Toolbox The Macro toolbox contains the tools associated with constructing macros in Cabri Geometry II A macro is a sequence of interdependent constructions Macros are useful for creating new tools that construct unique objects or perform repetitive tasks The illustration below shows the location of the Macro toolbox on the Cabri Geometry II toolbar along with its pull down menu Procedures for creating macros including rules and examples are presented in this chapter in the order in which macros must be created Macro toolbox JH dele ide 41 Initial Object Final Object Define Macro x a 1997 1999 Texas Instruments Incorporated A macro constructs final objects based on initial objects Intermediate objects are not constructed This feature allows easy construction of complex figures and is the primary method for constructing fractals You can save macros on disk for later use Macros are automatically saved with any file in which they are used To create a macro 1 Select the initial objects required to define the final object s 2 Select the final object s and then if necessary change the attributes of the object s as they will appear in the final construction 3 Define the macro for inclusion in the Macro toolbox The macro is then available for use Read the following rules and then refer to the step by step procedures that follow them Rules for creating macros gt Initial objects must allow t
22. an lxiv fetis object Transfer to another object gt Intersection Point s redefines the point to be at the intersection of two objects Transfer to another object transfers and merges the point to another existing point 2b If the object is an object hold the mouse on the object and then select the new definition A pop up menu appears with the following options gt Circle Triangle Segment etc lets you construct a Circle new object of the same type and automatically Transfer to another object transfer the original object to it Transfer to another object transfers and merges the object to another existing object of the same type 2c If the object is a line hold the mouse on the line and then select the new definition A pop up menu appears with the following options gt Line lets you construct a new line and Line automatically transfer the original line to it Perpendicular Line Parallel Line gt Perpendicular redefines the line to be Perpendicular Bisector perpendicular to another object Angle Bisector Transferto another object gt Parallel Line redefines the line to be parallel to another object gt Perpendicular Bisector redefines the line to be the perpendicular bisector of another object gt Angle Bisector redefines the line to bisect an angle determined by three points gt Transfer to another object transfers and merges the line
23. are not placed on the clipboard Copying permitted provided TI copyright notice is included Chapter 2 Using the Menus 2 5 O 1997 1999 Texas Instruments Incorporated Edit Menu Continued Select all Keyboard shortcut COMMAND A Macintosh or CTRL A DOS The Select all command selects every object in a construction Using Select all and then Clear is an easy way to erase the contents of a construction to start again with a clean drawing Replay Construction The Replay Construction command for the Macintosh and Windows versions replays each step of a construction You may stop the replay at any step in the construction and begin editing If you stop the replay before the end of the construction is reached and begin to edit all subsequent steps in the original construction are nullified A floating toolbar is generated when this command is selected Note that the Macintosh version provides several additional buttons Macintosh Stop Fast Pause Fast Continuous Foward Reverse Begin Reverse Forward End Windows Replay Construction Button descriptions Cancel The Replay Construction command for the DOS version replays each step of a construction when you press the left and right arrow keys on the keyboard Pressing the right arrow key replays the construction in the forward direction and pressing the left arrow key replays the construction in the reverse direction Unlike the Macintosh and Windows versions yo
24. at the bottom of the screen You can perform calculations using measurements numerical values calculation results and numerical inputs from the keyboard When you change the components of a calculation the result is updated The calculator shown below is displayed at the bottom of your computer screen It cannot be moved from this position Once selected the calculator remains ON visible until you press the OFF button The calculator becomes active as soon as you select the Calculate tool It becomes inactive when you perform any action not directly associated with a calculation To reactivate the calculator you can either select the Calculate tool or click in the calculator edit window edit window Inv SIN cos TAN opinan result window Calculations are entered in the edit window See the procedure Entering a calculation in this section for how to enter a calculation A measurement or numerical value from the Cabri Geometry II drawing window is represented in the edit window as a variable a b c 2 This variable is also shown next to the value in the Cabri Geometry II drawing window The value s full precision will be used in the calculation All parentheses must be closed when entering a calculation You can extract the abscissa and ordinate from any coordinate set by clicking on each value individually The calculation result is displayed in the result window You can drag the result to the Cabri Geometry II
25. circle A dialogue box appears with the following options gt Point redefines the point as a basic point at the same location gt Point on Object redefines the point to be on an object Select the endpoint gt Intersection Point s redefines the point to be at pm c the intersection of two objects DM rar ds mbar pad 4 gt Transfer to another point transfers the point to another existing point Click to create a point on a circle 3 Select the desired option If you selected Point step 4 is not necessary e 4 Click to select an object compatible with the selected option and to assign its new definition The segment is attached to the circle Copying permitted provided TI copyright notice is included Chapter 7 Using the Construct Toolbox 7 13 O 1997 1999 Texas Instruments Incorporated The Redefine Object tool modifies the current definition of any object You can redefine a circle arc conic triangle segment ray vector polygon or regular polygon Redefining an object 1 Select Redefine Object from the Construct toolbox 2a If the object is a point hold the mouse on the point and then select the new definition AJ E la sb 2 24 ne A pop up menu appears with the following options gt Point redefines the point as a basic point Point Point on Object Point on Object redefines the point to be on
26. dragged or modified directly You can move or modify them indirectly by moving the basic points or independent objects responsible for their existence The more elaborate a construction becomes the more difficult it can be sometimes to distinguish these types However the Cabri Geometry II software will assist you 1 12 Chapter 1 Learning the Basics Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated Dragging Dragging objects is valuable for generating conjectures You can modify an object by dragging all or part of it to a new location Whether or not an object can be changed depends directly on how it was created You can drag move a basic point to a new location modifying in turn any object constructed using it An independent object can be modified with one of the tools from the Pointer toolbox You cannot alter a dependent object directly by dragging but you can change it by dragging the basic points used in its construction Whenever an object can be dragged the pointer changes to the selection hand momentarily and then to the dragging hand amp cursor When the amp is visible the selected object follows the pointer as you move it If your computer s performance is sluggish you may need to move the pointer to the location you want and wait for the computations to finish with the new characteristics This is particularly evident when there are many objects in the draw
27. menu Curves toolbox M HO da 54 41 Copying permitted provided TI copyright notice is included Chapter 6 Using the Curves Toolbox 6 1 O 1997 1999 Texas Instruments Incorporated The Circle tool creates a circle defined by a center point and a radius that can be specified in free space at an existing point or on an object Note You can constrain the radius to integer values by pressing the SHIFT key while defining or modifying the radius Creating a circle 1 Select Circle from the Curves toolbox al EE xo 1424 ales 2 Create or select the center point of the circle Create the center point 3 Move the cursor from the center point and click once Specify the radius to set the radius If you click in free space a point is not created You can also create or select a point Modifying a circle To translate a circle without changing its radius the circle must be constructed with a single point Drag the point to translate the circle To change the radius of a circle gt Ifthe circle was created with a single point grab the circle anywhere on its circumference and drag gt Ifthe circle was created with a basic point grab either point on the circle and drag 6 2 Chapter 6 Using the Curves Toolbox Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated The Arc tool creates an arc defined by three points two endpoints and a radius or curvature po
28. permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated Chapter 11 Using the Measure Toolbox The Measure toolbox contains the tools associated with measurement features in Cabri Geometry II These features allow you to perform different measurements and calculations The illustration below shows the location of the Measure toolbox on the Cabri Geometry II toolbar along with its pull down menu Procedures for using Measure tools including examples are presented in this chapter in the order in which the tools appear on the pull down menu Measure toolbox Ls genes Tess o Ep pa eot Ls v Distance amp Length Area Perm Slope Angl Equation amp io Coordinates Calculate I z Seo Tabulate ABR O 1997 1999 Texas Instruments Incorporated The Distance amp Length tool calculates and displays distance length perimeter circumference and radius The default measurement is displayed in centimetres You can change its precision by using Numerical Edit in the Display toolbox Numerical Edit also allows you to change the font size style colour and units You can add a comment to the measurement immediately after creating it by typing the text See Comments in the chapter Using the Display Toolbox for more information on adding a comment to a numerical value Measuring objects 1 Select Distance amp Length from the Measure toolbox al dal Ade fe m 2 To measu
29. points 1 13 comments 1 21 conics creating 6 4 dependent objects 1 14 independent objects 1 14 labeling 1 19 lines creating 5 3 locus creating a 7 11 marked angles creating 12 7 measurement transfers creating 7 9 modifying appearances 13 7 parallel lines creating 7 3 perpendicular bisectors 1 11 perpendicular lines creating 7 2 rotating and dilating 3 5 segments creating 5 4 selecting multiple objects 3 2 expanding or contracting an object See dilating an object F File menu 2 2 2 3 2 4 Fill tool 13 4 filling an object with color 13 4 Final Object tool 9 4 Fix Free tool 12 8 fixing or freeing points 12 8 Font command 2 11 freehand rotation of an object 3 5 function buttons calculate window 11 8 functions and syntax calculate window 11 9 Index 2 G grasping hand pointer 1 10 H Help menu 2 12 Hide Show tool 13 2 hiding and showing objects 13 2 I I beam pointer 1 10 Initial Object tool 9 3 initial point of a line 5 2 installing the software 1 2 Intersection Point s tool 4 4 Inverse tool 8 7 L Label tool 12 2 labeling objects 1 19 12 2 language changing 2 10 Line tool 5 2 Lines toolbox 5 1 Locus tool 7 11 low memory message 1 4 M Macro toolbox 9 1 magnifying glass pointer 1 10 Mark Angle tool 12 7 Measure toolbox 11 1 Measurement Transfer tool 7 9 measuring objects 11 2 Member tool 10 6 memory available for applic
30. table can be adjusted Creating and selecting point s All objects are constructed using one or more points You create or select points when a tool is active In general the order of operation is to select a construction tool from the toolbox and then to create or select the required points that define the tool A point is created by a single click of the mouse You can create points in unoccupied space when the construction pencil cursor is visible You can create a point on an object or at the intersection of two objects when a cursor message appears and the pointer changes to the selection pencil Y cursor The following examples illustrate how to create and select points Copying permitted provided TI copyright notice is included 1 310 Chapter 1 Learning the Basics O 1997 1999 Texas Instruments Incorporated Example 1 Creating the perpendicular bisector of two points 1 Select the Perpendicular Bisector tool from the Construct toolbox 2 Move the Y to any place in the drawing window and click not hold down once Ea A flashing point appears on the window indicating that this point has been selected for the construction 3 Move to another place and click again A second point appears as well as the perpendicular bisector of the segment connecting these two points Note The segment does not appear Tf the pointer is near a valid object a cursor message is displayed In some cases it is sufficient to sel
31. through the vertex to measure the opposite angle The angle mark changes to _ when the angle is 90 degrees Using the Modify Appearance tool in the Draw toolbox change the number of angle marks displayed by selecting the desired angle mark attribute and then the angle mark Example Mark two angles 120 000 60 000 120 000 2 180 000 Copying permitted provided TI copyright notice is included Chapter 12 Using the Display Toolbox 12 7 1997 1999 Texas Instruments Incorporated The Fix Free tool fixes the location of a free point or vice versa Fixed points cannot be moved or deleted Fixing or freeing points 1 Select Fix Free from the Display toolbox All fixed points are displayed with a thumb tack next to them 2 Select any free point to fix its location or any fixed Select any point to fix its position point to free the location constraint This polnt The Fix Free tool works as a toggle function on a point To free all fixed points simultaneously click in free space while pressing SHIFT Select any fixed point to free it This point 12 8 Chapter 12 Using the Display Toolbox Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated The Trace On Off tool traces the path of an object as it is translated You may trace objects manually by dragging the object or automatically by using the Animation tool Multiple objects can be selected for tracing To clea
32. to another existing line 3 Click to select an object compatible with the selected option and to assign its new definition Copying permitted provided TI copyright notice is included 7 14 Chapter 7 Using the Construct Toolbox O 1997 1999 Texas Instruments Incorporated Chapter 8 Using the Transform Toolbox The Transform toolbox contains the tools associated with Cabri Geometry II transformation features These features allow you to translate reflect rotate and dilate objects according to specified factors and angular values The illustration below shows the location of the Transform toolbox on the Cabri Geometry II toolbar along with its pull down menu Procedures for using Transform tools including examples are presented in this chapter in the order in which the tools appear on the pull down menu Transform toolbox IE EI ESI DES A EA v Reflection Symmetry Translation a a Rotation a Pd Dilation Inverse O 1997 1999 Texas Instruments Incorporated The Reflection tool creates the mirror image of an object reflected across a line segment ray vector axis or side of a polygon Creating a reflection l Select Reflection from the Transform toolbox 2 Select the object to reflect Select the object to reflect Reflect this polygon 3 Select the line segment ray vector axis or side of a Select the linear object polygon to reflect the object across withirespecttothis lne The reflec
33. transmit this work or portions thereof in any other form or by any other electronic or mechanical means including any information storage or retrieval system unless expressly permitted by federal copyright law Address inquiries to Texas Instruments Incorporated 7800 Banner Drive Dallas TX 75251 M S 3918 Attention Manager Business Services TI Product and Services Information For more information about TI products and services contact TI by e mail or visit the TI calculator home page on the world wide web e mail address ti cares ti com internet address http www ti com calc Cabri Geometry II is a trademark of Universit Joseph Fourier Macintosh is a registered trademark of Apple Computer Corporation Incorporated MS DOS and Windows are registered trademarks of Microsoft Corporation PostScript is a registered trademark of Adobe Systems Incorporated O 1997 1999 by Texas Instruments Incorporated All rights reserved Guidebook for Macintosh Windows and MS DOS9 Dive into Geometry T TEXAS s NSTRUMENT About Cabri Geometry Il Cabri Geometry II lets you construct and explore geometric objects interactively Jean Marie Laborde and Franck Bellemain developed Cabri Geometry II at the Institut d Informatique et Math matiques Appliqu es de Grenoble IMAG a research lab at the Universit Joseph Fourier in Grenoble France in cooperation with the Centre National de la Recherche Scientifique CNRS and Texas
34. your network documentation for more information if necessary Note Cabri Geometry II is supplied on high density diskettes If your computer will not accept these diskettes call 1 800 TI CARES and a service representative will supply you with low density diskettes Chapter 1 Learning the Basics Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated Installing Cabri Geometry Il on a network continued Macintosh and DOS 1 Install Cabri Geometry II on the network server using the instructions given on the previous page 2 Run the program from the server the first time and enter the requested information 3 To run Cabri Geometry II on each network client go to the directory on the network server where the Cabri Geometry II application is installed Macintosh users may double click on the Cabri II icon DOS users may run Cabri2 exe to start the program The procedure described below for Windows users allows multiple client computers to run Cabri Geometry II using the application software installed on the network server Each client computer is provided with the necessary system files to run Cabri Geometry II and a shortcut icon that is linked to the application file on the network server Windows 3 1 and Windows 95 1 Install Cabri Geometry II on the network server using the instructions given on the previous page In the Select Destination screen you must select a dire
35. 7 1999 Texas Instruments Incorporated The Perpendicular tool evaluates any combination of two selected lines segments rays vectors axes or sides of a polygon to determine whether or not they are perpendicular The results are reported in text Checking perpendicularity 1 Select Perpendicular from the Check Property toolbox da aded Gla din 2 Select any combination of two lines segments rays Select two linear objects vectors axes or sides of a polygon A marquee box appears after the last selection Click to place the marquee box 3 Move the pointer to move this box anywhere in the drawing window and click to display the result Objects are not perpendicular The result changes with the construction If you change the objects so that the property changes the displayed text changes accordingly Objects are perpendicular 10 4 Chapter 10 Using the Check Property Toolbox Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated mji The Equidistant tool evaluates any three points to determine whether or not the first point is equidistant from the two remaining points If a point is equidistant from the endpoints of a segment then the point lies on the perpendicular bisector of the segment The results are reported in text Checking equidistant property 1 Select Equidistant from the Check Property toolbox 2 Select any three points The firs
36. 999 Texas Instruments Incorporated File Menu Continued Print Macintosh Windows The Print command for the Macintosh and Windows versions opens a dialog box that provides several options for printing your construction After specifying the options you want in Page Setup and Print click the Print button to send your construction to the printer The Placement options Macintosh only lets you position your construction as it will appear on a printed page by dragging the clear page in the screen The drawing window your computer screen is shown for a reference Select Print labels in Italics to automatically print all labels in italic font If your construction requires more than one page select the Posterize option Macintosh only to number each page You can select the position of the pages by using the pointer to drag the center page outlined with bold lines in the drawing region You can change the number of pages by dragging the boxes in the upper left and lower right corners of the print region This option makes it fun to create very large drawings which can be taped together Printer Setup DOS The Printer Setup command for the DOS version lets you select a printer and respective print quality and to specify the page size US Letter US Legal or A4 Letter and orientation portrait or landscape Click on the selections to see the menu options The Printer option lets you select one of the printers listed below
37. Edit 222s oo ads sida alain 12 5 Mark Angle e d beans R RATE EPA Ph ged ERG RA Use ON Gece ewe aa TA 12 7 RETO a dei tt ceca Las eR 12 8 Trace OWO toun ps ads aia dic d 12 9 ID AA Eee SE ae Maen PAM UA Eee RUA ee heated 12 10 Multiple Animation 0 000 ccc ene he es 12 11 3 2 CONOR T 13 3 A o ea Age teenie hie te ath tele a aa a Ae ee ales G area oA es oa eens abeohces 13 4 TT 2242zB5eeeergawmebEReE AS Son Pu Se he cette SAR abe bE 3d ee aca de ios 13 5 Potted MEME uUCRPPNMETM 13 6 Modify Appearance 5 csc cec e d iit sa RR RUE ERR FR uer CPERS ER ERR 18 7 Show Lide AXeS sv fed laos eR RR ede b ERI A o ERI CE e eas 13 8 NEW AXES cce is A ee ex moked sod tases eye 13 9 Demme Gid eeens 13 10 INDEX AA A PET Pe Or INDEX 1 Copying permitted provided TI copyright notice is included V O 1997 1999 Texas Instruments Incorporated About this Guidebook The Cabri Geometry II Guidebook contains user information about the Cabri Geometry II software It provides descriptions procedures illustrations and examples for using the software features on Macintosh computers and Windows and MS DOS based PCs Structure Many of the procedures illustrations and examples are virtually the same for the different computer types Significant differences between the Macintosh Windows and DOS versions are identified for your convenience Most of the
38. Euclidean geometry constructions Transformational geometry Making macros New macros become part of this toolbox Checking properties of constructions based on Euclidean geometry Measurements or calculations Annotating your constructions or animating objects Changing the appearance of objects or displaying the coordinate system Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated Accessing on line help Macintosh e Access on line help by clicking on the help icon in the menu bar of the Cabri Geometry II drawing window A window appears at the bottom of your drawing that contains information about the tool currently selected e Select additional tools to see their help information Remove the help window by clicking on the help icon again or by clicking on the close box in the help window The close box appears when you click in the help window Windows e Access on line help by clicking on the Help menu option in the menu bar of the Cabri Geometry II drawing window and selecting Help A window appears at the bottom of your drawing that contains information about the tool currently selected e Select additional tools to see their help information Remove the help window by clicking on the help icon again Copying permitted provided TI copyright notice is included 1997 1999 Texas Instruments Incorporated DOS Access on line help by c
39. Instruments Texas Instruments the publisher for Cabri Geometry II in the United States and Canada is pleased to bring computer based geometry to classrooms The geometric foundation of this easy to use software encourages exploring and conjecturing from simple shapes to advanced projective and hyperbolic geometry About the Developers Jean Marie Laborde is founder and Research Director of Laboratoire de Structures Discr tes et de Didactique LSD2 a research laboratory within IMAG He graduated in mathematics at Ecole Normale Sup rieure in Paris in 1969 He earned a Ph D Th se d tat in computer science at the University of Grenoble in 1977 Jean Marie began work on the Cabri II project in 1981 as an environment for graph theory He has devoted his research efforts to the use of geometric methods for the study of different classes of graphs especially hypercubes Franck Bellemain earned a Ph D in mathematics at the Universit Joseph Fourier in 1992 He began work on the Cabri II project in 1986 and is responsible for writing several versions of the software for Macintosh PC compatible and Japanese computers His research and thesis have been devoted to the use of technology in the classroom Cabri Geometry II Features Includes interactive analytic transformational and Euclidean geometry Allows intuitive construction of points lines triangles polygons circles and other basic objects Translates dilates and
40. Reed RC RES ERE Y 7 9 L iste PrP ge 7 11 Redefine Polit aissi a Sa waned aed ede 7 13 Redefine Object i ibs cacti bd tee ei bee and bie Pela die E ddd hea 7 14 CHAPTER 8 USING THE TRANSFORM TOOLBOX 8 1 uad ens T RETE C D TL TIT 8 2 Symmely 266 bib band c 4g ey PRETEREA a da 8 3 Translatioti 2 es re trt E Perg eben eese sare eed PA EP PERDU Ces Tos er 8 4 Ion uo TITTEN TREE 8 5 Dilation 52e eI POR IPSE RR RIPERROSTN dad 8 6 IE eN OOOO ein Lund M Rede i LUDUM RI SUMI ATE DI ER UPS 8 7 CHAPTER 9 USING THE MACRO TOOLBOX s senes 9 1 How to create a macro 9 2 Initial ObJect ereng eieae be Ven LAT dae pedo Roh dee Maas 9 3 EMalODJEE TET CT 9 4 Define Macro iii A tdt iia 9 5 CHAPTER 10 USING THE CHECK PROPERTY TOOLBOX 10 1 Slc MEREREREC CREE 10 2 Parallel ri ic cda o ad tenn tone ae stands 10 3 P rpendicular ecce hec ee esp Ue eee s etna adiu P edu dte Pu A ais 10 4 loni SSSSSSSRTT 10 5 Membet oC A VIN WIPE te Swan pex e nee hee S45 an EYES 10 6 Copying permitted provided TI copyright notice is included 1997 1999 Texas Instruments Incorporated Table of Contents continued Lut RT ECT 115 Equation amp Coordinates o 11 6 Calculate PE 11 7 Er aia dt de aid 11 11 CHAPTER 12 USING THE DISPLAY TOOLBOX 12 1 Label a a NIE Med 12 2 COMMENTS iia a Lee ad DEP a dat 12 3 Numerical
41. This dialog box is described below Also see Rules for creating macros at the beginning of this chapter The Define Macro dialog box The Define Macro dialog box appears Macintosh version illustrated when you select Define Macro after defining valid initial and final objects Each field is defined below Note The Define Macro dialog box for the Windows and DOS versions is slightly different from the Macintosh version The first screen is displayed only in the Macintosh version In the next screen the Icon font option is different in the Windows and DOS versions Macintosh only Hane al ihe remiser iier 7 iran ioni H7 Macintosh Windows DOS Wawer of Ihe cm do a licer F cem Tani T vel LL Dii iren j a C O Save t ig Lew ieee da fe Samer Fer Mew al ol id ALA Name of the construction Icon font Macintosh only Cancel More Less Macintosh only Name for first final object Help for this macro Copying permitted provided TI copyright notice is included Enter a name for your construction or select a previously named macro To access a previously named macro point to the arrow on the right hand side of this field and press and hold the mouse button The name entered here will appear in the Macro toolbox when you select OK or OK and save The first letter of the construction name entered above appears in this field This letter will be used for the icon of the macro in t
42. When two or more objects simultaneously occur at the location of the pointer the magnifying glass amp cursor and the cursor message Which object appear Press and hold down the mouse to see the options in a dialog box Select an object by pointing to the appropriate choice in the box and releasing the mouse When multiple objects are present they are listed in the order in which they were created Selecting an object causes it to display in marquee outline You can move drag it to a new location if it is an independent object and the Pointer tool is selected Click in unoccupied space to deselect the object If you are using a construction tool the object is selected for the construction Determining dependent and independent objects All objects are created using one or more points The manner in which you create an object determines whether it is dependent or independent of the object This distinction becomes very important with respect to dragging objects An example of this distinction is given after the section Dragging A point constructed by itself is called a basic point An independent object is an object created using only basic points Independent objects can be moved dragged but not modified directly By moving the basic points used for their construction you can modify them indirectly A dependent object is an object constructed using an independent object or another dependent object Dependent objects cannot be moved
43. and pressing TAB Specifying axes 1 Select Show Hide Axes from the Draw toolbox 2 Coordinate system translation Drag the origin to translate the axes to a new location 9 Axes rotation Rotate both axes simultaneously by grabbing the x axis beyond the first scale mark and dragging in a circular manner Rotate the y axis separately by grabbing the y axis beyond the first scale mark and dragging in a circular manner Note Pressing the SHIFT key while dragging rotates the axes in 15 degree increments 4 Changing scale Change the scale of both axes simultaneously by dragging the first scale mark on the x axis to the desired location The small number next to the first scale mark indicates the value of each division Change the scale of the y axis separately by dragging the first scale mark on the y axis to the desired location Note Pressing the shift key while dragging returns the scale to the 1 centimeter increment default scale 13 8 Chapter 13 Using the Draw Toolbox Axes are displayed when you choose this tool Drag the first scale mark to change the scale ty Drag x or y axis to rotate the coordinate system Copying permitted provided TI copyright notice is included 1997 1999 Texas Instruments Incorporated The New Axes tool creates a new x y axis defined by three points The first point defines the origin the second point defines the location of the x axis and t
44. ange the rotated image by either modifying the figure Y that defines the angle of rotation editing the value created by Numerical Edit moving the rotation point or changing the original object Because itis a dependent d object you cannot change the rotated image directly Copying permitted provided TI copyright notice is included Chapter 8 Using the Transform Toolbox 8 5 O 1997 1999 Texas Instruments Incorporated 8 6 The Dilation tool dilates an object by a specified factor with respect to a specified point Note This factor may be any measurement or numerical value regardless of units The value is presumed to be unit less To create specific factors of dilation please refer to Numerical Edit in the chapter Using the Display Toolbox Dilating an object 1 Select Dilation from the Transform toolbox 2 Select the object to dilate 3 Select the point of dilation 4 Select the factor of dilation Modifying a dilation Change the dilated image by either modifying the figure that defines the factor editing the value created by Numerical Edit moving the dilation point or changing the original object Because it is a dependent object you cannot change the dilated image directly Chapter 8 Using the Transform Toolbox Select the object to dilate n5 Dilate this polygon Select the dilation point 05 EE t thy with respect fo this point Select the dilation factor The dilated image is crea
45. arquee box appears after the last selection 3 Move the pointer to move this box anywhere in the drawing window and click to display the result If you change the points so that the property changes the displayed text changes accordingly 10 2 Chapter 10 Using the Check Property Toolbox Select three points Click to place the marquee box Points are not collinear The result changes with the construction Points are collinear Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated a The Parallel tool evaluates any combination of two selected lines segments rays vectors axes or sides of a polygon to determine whether or not they are parallel The results are reported in text Check parallelism 1 Select Parallel from the Check Property toolbox al da Jeo 124 12 2 Select any combination of two lines segments rays Select two linear objects vectors axes or sides of a polygon A marquee box appears after the last selection 9 Movethe pointer to move this box anywhere in the Click to place the marquee box drawing window and click to display the result Objects are not parallel If you change the objec ts so that the property The result changes with the construction changes the displayed text changes accordingly Objects are parallel Copying permitted provided TI copyright notice is included Chapter 10 Using the Check Property Toolbox 10 3 199
46. ation 1 4 Menu bar description 1 6 menus options 1 8 Midpoint tool 7 4 Modify Appearance tool 13 7 modifying a point on an object 4 3 angle bisectors 7 6 appearances 13 9 arcs 6 3 circles 6 2 comments 12 4 compass circles 7 8 conics 6 4 dilations 8 6 equation or coordinates 11 6 Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated modifying continued inverse points 8 7 labels 12 2 lines 5 2 loci 7 12 marked angles 12 7 modifying cont measurement transfers 7 10 midpoints 7 4 numerical values 12 6 parallel lines 7 3 perpendicular bisectors 7 5 perpendicular lines 7 2 points 4 2 rays 5 5 reflections 8 2 regular polygons 5 10 rotations 8 5 segments 5 4 symmetrical images 8 3 traces 12 9 translations 8 4 triangles 5 7 vector sum 7 7 vectors 5 6 moving measurements area 11 3 of an object 11 2 of angles 11 5 slope 11 4 moving objects 3 2 Multiple Animation tool 12 11 N network operation 1 3 New Axes tool 13 9 New command 2 2 O On line help window how to open 1 9 Open command 2 2 open hand pointer 1 10 opening a new drawing window 2 2 opening an existing construction file 2 2 optimal configuration settings 1 4 optimizing your system configuration 1 4 Options menu 2 7 through 2 10 Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporat
47. board shortcut COMMAND W You also can click in the close box located on the top left hand side of the active window in the title bar The Close command Macintosh Windows closes the active drawing window If changes were made to the construction file the Close dialog box appears and provides the option to save the changes If the file is new the dialog changes to the Save dialog box Cabri Geometry II is still active in your computer s memory after all files have been closed and does not free memory for applications other than Cabri Geometry II Save Keyboard shortcut COMMAND S Macintosh CTRL S Windows DOS The Save command saves the construction in the active drawing window to the file name specified previously The Save as dialog box appears if the file was not saved previously The construction remains open and active after saving The current view of a construction is saved with the file so that it opens to the same view when reopened Any macros used in the construction are automatically saved with the file and are available for use in future edit sessions with the saved file 2 2 Chapter 2 Using the Menus Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated Save as The Save as command generates a dialog box for saving and naming the construction in the active drawing window The Save as dialog box provides the interface for saving a new file saving a file to a new fi
48. bri Geometry II first make sure the Cabri ll icon is selected Then from the Finder select Get Info in the File menu Once the Get Info window appears decrease the application memory size to a value that is compatible with your computer If you are using System 7 an optional method is to use Virtual Memory to increase the amount of memory available to applications See your Macintosh User s manual for more information The previous dialog box indicates the amount of available memory on your computer You may also select About this Macintosh in the Apple menu for the same information Changing your Macintosh system configuration using Cabri Il If you open Cabri Geometry II and the memory allocation on your Macintosh is not optimal the following dialog box appears We recommend that you allow Cabri Geometry II to select optimal parameters for your system automatically or that you select them using the Manual button You may wish to quit and modify the settings yourself if you are familiar with the memory and monitor control panels D The memory allocated to Cabri is not optimal and Cabri cannot work properly Vou can Allow Cabri to determine optimal memory and screen settings automatically Obtain more information and determine optimal settings manually Quit Cabri If you select the Automatic button Cabri Geometry II computes the optimal settings for your computer and then quits The number of colors may change in
49. button twice in succession drag Drag means to point to the object you want to drag press and hold the mouse button to select the object and move the screen pointer to a new location Release the mouse button to stop dragging modify When used as an instruction modify means to change the appearance size location or orientation of the object marquee outline Marquee outline is the outline of an object in animated dots similar to a movie marquee marquee rectangle Marquee rectangle is the selection rectangle that appears when you drag vi with the Pointer tool from an unoccupied location in the drawing window When you release the mouse button objects that lie completely within the rectangle are selected Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated Chapter 1 Learning the Basics This chapter provides descriptions and examples of basic operations in Cabri Geometry II Becoming familiar with these items will enhance your usage Differences between the Macintosh Windows and MS DOS versions are explicitly described where applicable For convenience DOS will be used in the remainder of this guidebook to mean MS DOS The following topics are discussed FIRST STEPS Checking system requirements Installing Cabri Geometry II Starting Cabri Geometry II Optimizing your Macintosh system configuration Changing your Macintosh system configuration using Cabri Geome
50. ccess to hidden objects Click to display hidden objects 13 2 Chapter 13 Using the Draw Toolbox Copying permitted provided TI copyright notice is included 1997 1999 Texas Instruments Incorporated Fi The Color tool changes the color of any object to one of 15 colors in the color palette This tool does not display on black and white systems Changing the color of an object 1 Select Color from the Draw toolbox 2 Select one of the colors in the color palette The selected color appears outlined in the palette 9 Select any object to change its color to the color you selected Copying permitted provided TI copyright notice is included Chapter13 Using the Draw Toolbox 13 3 1997 1999 Texas Instruments Incorporated The Fill tool fills an object such as a triangle polygon circle or label with a color or pattern for black and white systems that you choose from 15 selections available in the color palette Filling an object with color 1 Select Fill from the Draw toolbox 2 Select one of the colors patterns appear on black and Select a fill color from the palette white systems in the color palette m ji mim 9 Select an object Select object to fill with color Modifying a filled object Select an object a second time with the same color to change the color to transparent white the original fill color Select an object a second time while pressing the OPTION key Macintos
51. ck to create or select the other vertices To terminate polygon construction double click or select the initial vertex Modifying a polygon Move a polygon as an object by dragging one of its sides Select the original point Change a polygon by dragging any of its vertices i point Polygon is complete fh This polygon 5 8 Chapter 5 Using the Lines Toolbox Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated The Regular Polygon tool constructs a regular convex or star polygon defined by a center point and n sides 30 or less A regular polygon consists of congruent sides and congruent angles A point placed on a regular polygon can be moved along the entire perimeter of the polygon Creating a regular polygon 1 Select Regular Polygon from the Lines toolbox 2 Clickto create or select the center point Create the center point a 3 Move the cursor from the center point and click to Specify the size specify the radius of a regular polygon eS ae The number of sides is displayed at the center point 4 Tocreate a regular convex polygon move the cursor Rotate clockwise clockwise from its current position M Lj To create a regular star polygon move the cursor counterclockwise and click when the regular polygon is the desired size Note If you move beyond 30 sides or 180 degrees from the initial vertex and the center point a convex polygon become
52. ct the translation vector direction and distance i 3h by this vector gp TN i The translated image is created e ai Modifying a translation Move a translated image by dragging the vector head or tail to a new location The translated image changes according to the changes of the vector or changes to the original object Because itis a dependent object you cannot change the translated image directly 8 4 Chapter 8 Using the Transform Toolbox Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated ES The Rotation tool rotates an object by a specified angular value with respect to a point Note The angular value may be any measurement or numerical value regardless of units The units are presumed to be degrees by the software A positive angular value rotation is performed in a counter clockwise direction To create specific angles of rotation please refer to Numerical Edit in the chapter Using the Display Toolbox Rotating an object 1 Select Rotation from the Transform toolbox 2 Select the object to rotate Select the object to rotate 45 e this polygon 3 Select the point of rotation Select the rotation point 45 o vm op a E around hS point 4 Select the angular value of rotation Select the angular value of rotation 45 using this angl d using p ADR op gw TERES The rotated image is created Modifying a rotation Ch
53. ctory that will be accessible from each client computer on the network 2 Temporarily copy setup exe and setup w02 from the installation diskettes to the same directory in which you installed Cabri Geometry II in step 1 3 On each network client go to the directory on the network server that contains setup exe and double click to on this file to run the setup program 4 In the Select Destination Directory screen click on the Browse button and select the same directory that you used in step 1 Make sure the correct directory is displayed at the top of the window You may edit the path if necessary and then click on OK Ignore the message that the directory already exists 5 In the Select Components screen deselect the first three components The installation program will determine if the fourth component is necessary for Windows 3 1x users 6 When Cabri Geometry II has been installed on all client computers delete the two files that were temporarily copied to the network server in step 2 Starting Cabri Geometry II Macintosh You can use one of four methods to start the software on a Macintosh Use Open in the Finder Double click on the Cabri ll icon Double click on any Cabri Geometry II construction file tool configuration file or macro file Drag and drop any construction file onto the Cabri Il icon System 7 users only Windows Double click on the Cabri ll icon Cabri ll Copying permitted p
54. d processor or spreadsheet when using the DOS version select the objects and click on Copy Then open the other application and insert the appropriate BMP FIG or TXT file to the desired location Paste copies the objects from the clipboard into the drawing window that is active After pasting the clipboard still contains the objects Therefore you can paste them in another location or Cabri file if you desire In general objects can be pasted as many times as available memory allows One exception is copying the table Because Cabri Geometry II defines only a single table and the contents of a table are dependent upon other objects Cabri Geometry II cannot duplicate the table within the software Further only the contents of the table the numerical values are copied to another application Objects are pasted in the same position in which they were copied If you are pasting to the same Cabri Geometry II drawing from which you cut or copied the objects they are pasted in the same position but with a small offset in location The pasted objects are independent of the objects from which they were cut or copied Keyboard shortcuts COMMAND X Macintosh or CTRL X Windows DOS for Cut COMMAND C Macintosh or CTRL C Windows DOS for Copy and COMMAND V Macintosh or CTRL V Windows DOS for Paste Clear The Clear command removes selected objects from the construction This command is equivalent to pressing the DELETE key Objects
55. do is enabled 4 Undo is disabled which provides for faster manipulation of very large and complex figures gt Cursor Font Lets you define the display font to use for display indicators gt Menu Font Lets you define the display font to use for menu options Tool Configuration The Tool Configuration command allows teachers to configure Cabri Geometry II tools in the toolbar to the aptitude of their class You can rearrange or remove any tool in the toolbar You can place a tool configuration file in the preferences folder to automatically open Cabri Geometry II with the tool configuration specified in that file The following steps show you how to customize your toolbar 1 2 Select Tool Configuration in the Options menu To remove any tool from its current toolbox select the tool The tool becomes attached to the pointer To relocate the attached tool to an existing toolbox open any toolbox The relocated tool is inserted immediately below a tool that you highlighted with the cursor The tool will be copied to the top of the toolbox if you do not highlight another tool To relocate the attached tool in a new toolbox click in any empty section of the toolbar To remove the tool from the toolbar click on the toolbar trash can To add spaces between a toolbox or tool press the spacebar while pressing and holding the mouse button down You can add up to five spaces between toolboxes or tools To remove spaces betwee
56. dows version dialog box lets you set the font size and style Size Macintosh The Size command in the Macintosh version lets you view the font sizes available on your computer The point sizes in outlined text are sizes that your Macintosh should display without distortion The Y symbol is shown next to the default size The default size applies to labels comments numerical values and properties You can specify size independently for the Label Comments or Numerical Edit tools by first selecting the tool and then changing the size in this menu Point to another size to select it as the new size For classroom demonstrations it is useful to set the default font size at 14 or 18 points Style Macintosh The Style command in the Macintosh version lets you view the text styles available on your computer Text styles are independently applied to text and may be combined For example you can specify bold italic text by selecting each style type separately The default style applies to labels comments numerical values and properties You can specify style independently for the Label Comments or Numerical Edit tools by first selecting the tool and then changing the style in this menu Copying permitted provided TI copyright notice is included Chapter 2 Using the Menus 2 11 1997 1999 Texas Instruments Incorporated The Help menu in the Windows and DOS versions and in the Macintosh version let you view helpful information about each
57. dragging it to a new location If any of the points are dependent the conic also changes This hyperbola Modify the conic by dragging any of its five points Note Depending on the placement of the points the conic will be an ellipse a hyperbola or a parabola Examples Conics in the coordinate plane 6 4 Chapter 6 Using the Curves Toolbox Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated Chapter 7 Using the Construct Toolbox The Construct toolbox contains the tools associated with construction features in Cabri Geometry II These features allow you to construct objects in relation to other objects The illustration below shows the location of the Construct toolbox on the Cabri Geometry II toolbar along with its pull down menu Procedures for using Construct tools including examples are presented in this chapter in the order in which the tools appear on the pull down menu Perpendicular Line Parallel Line Midpoint Perpendicular Bisector Angle Bisector LY E Vector Sum Compass Measurement Transfer 2 0 E Locus m f m Redefine Point 44 e O 1997 1999 Texas Instruments Incorporated The Perpendicular Line tool creates a line passing through a point and perpendicular to a selected linear object line segment ray vector or side of a polygon Creating a perpendicular line l Select Perpendicular Line from the Construct toolb
58. drawing window When you drag the result to the drawing window a tag identifying it as a calculation result is dragged along with it See the step for copying the result to the drawing window in the procedure Entering a calculation on page 11 10 You cannot modify values in the result window However on the Macintosh and Windows versions you can edit results using Numerical Edit once they are in the drawing window In addition to using the standard Numerical Edit features you can display and change the composition of the result by selecting the Calc option in the Numerical Edit window For the DOS version select the Calculate tool and double click on the result to get the original formula back in the edit window If you change the composition of a calculation its result is automatically updated in the drawing window See Numerical Edit in the chapter Using the Display Toolbox for more details If two different but compatible units are involved in a calculation the result is displayed with the default units specified in Preferences under the Options menu for example 2 cm 4 mm 2 4 cm The calculator gives three types of warnings gt division by zero gt parentheses not closed gt incompatible units Both division by zero and parentheses not closed must be corrected before the calculation can be performed For incompatible units Cabri Geometry II offers the option to disregard the units and to perform the calculation as if t
59. e Options Preferences menu in the Windows version You can also frame and or fill comments with a color by using the Modify Appearance tool in the Draw toolbox Creating a comment 1 Select Comments from the Display toolbox 2 Drag a marquee rectangle to specify the location and Drag an appropriately sized box line length of the comment in the drawing An edit box appears when you release the mouse i i button A AAOS NE 9 Ifthe attributes are already as you desire continue to step 4 If not select the font size style and color of the text that you want Press and hold the mouse ia y VLDE The area of a circle is rir2 button while pointing to the small icon boxes at the The area of circle c top of the edit box The C S F and color block M change the character font Highlight and change the text style the character size the font style and the color of the e character Plain Bold italic a Underline ircle is r2 le c 4 Typethe text on the keyboard Text is confined within the box and automatically wraps to the next line when near the boundary Create bai additional lines by pressing ENTER Overbar Superscript Subscript nroa Eaploration The area of a circle is Wr The area of circle c Note For Macintosh and DOS versions to access some commonly used special characters turn on NUM LOCK on your keyboard Then press the ALT key while entering the three digit ASCII n
60. e Triangle from the Lines toolbox 5 Move the Y to any point of the circle the cursor message On this circle On this circle appears and click once o 6 Move the cursor to a second and third point on the circle clicking once at each point A triangle becomes inscribed in the circle 7 Choose Pointer from the Pointer toolbox 8 Movethe cursor near the center point the cursor message This point appears Press and hold down the mouse button until the amp appears and drag the center point around the drawing window Note The radius of the circle remains unchanged 9 Move the near the circumference of the circle the cursor message This circle appears Press and hold down the mouse button until the 41 appears and drag the circumference Note The center point of the circle remains fixed while the radius changes and the vertices of the triangle stay on the circle 10 Move the near a vertex of the inscribed triangle the cursor message This point appears Press and hold down the mouse button until the appears and then drag the point Note The point can only be moved along the circle If you move the pointer while creating points Cabri Geometry Il reverts to dragging This feature anticipates your intent to modify your construction without requiring you to return to the Pointer toolbox However it can create some confusion if you are creating points quickly and inadvertently move the pointer w
61. e constructed with a single point drag the point Foraline constructed with two basic points grab the line away from the points and drag Note A line constructed with at least one dependent point a point attached to another object cannot be moved using the Pointer without changing the slope 5 2 Chapter 5 Using the Lines Toolbox Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated Change the slope of a line by selecting the Pointer tool Then using the Pointer To change a line constructed with a single point grab the line away from the point and drag Press the SHIFT key to constrain the slope to 15 degree increments gt To change a line constructed with two basic points drag either of the points gt Changing a line constructed with a dependent point is relative to the object to which it is attached You may drag the object or the point depending on the construction Example The line is attached to a side of the Create a point Create a point triangle and the opposite vertex Copying permitted provided TI copyright notice is included Chapter 5 Using the Lines Toolbox 5 3 O 1997 1999 Texas Instruments Incorporated The Segment tool creates a segment between two endpoints Note You can limit the slope of the segment to 15 degree increments by pressing the SHIFT key when creating the segment Creating a segment l Select Segment from the Lines toolbox
62. e returns to solid and a point at the intersection of the two lines appears This point of xh intersection is known as the circumcenter of the triangle This line The vertices of the triangle are basic points The triangle is an independent object because its existence depends only upon basic points The perpendicular bisectors are dependent objects because their existence depends upon independent objects the sides of the triangle The circumcenter is a dependent object because it was created using dependent objects the perpendicular bisectors In Example 5 we will first create a circle and then inscribe a triangle You can move the circle by dragging its center point or modify it by dragging its circumference The triangle cannot be moved However you can modify it by dragging any one of its vertices around the circle Example 5 Inscribing a triangle in a circle 1 Choose Circle from the Curves toolbox 2 Move the Y to any place in the drawing window and click once C A flashing point appears D 9 Move the cursor away from the flashing point A circle appears with the flashing point as its center Click again to finish constructing the circle Note The flashing point changes to solid to indicate the construction is completed Copying permitted provided TI copyright notice is included Chapter 1 Learning the Basics 1 15 O 1997 1999 Texas Instruments Incorporated Constructing Objects Continued 4 Choos
63. e table 2 Point to any column divider in the first row The cursor changes to the column width cursor New column width Deleting a column 1 Click in the first row of a column the title column to select the column The column is highlighted 2 Press DELETE or select Clear in the Edit menu to delete the column Deleting a row Point and click in the first row of a column 1 Click in a row of the first column the sequentially Point and click in a row of the first column numbered column to select the row The row is highlighted 2 Press DELETE or select Clear in the Edit menu to delete the row Copying permitted provided TI copyright notice is included Chapter 11 Using the Measure Toolbox 1997 1999 Texas Instruments Incorporated 11 13 Chapter 12 Using the Display Toolbox The Display toolbox contains the tools associated with display features in Cabri Geometry II These features allow you to annotate your constructions or animate objects The illustration below shows the location of the Display toolbox on the Cabri Geometry II toolbar along with its pull down menu Procedures for using Display tools including examples are presented in this chapter in the order in which the tools appear on the pull down menu Display toolbox Ls gor s Tos o pas s EL v Label Comments Numerical Edit Mark Angle Fix Free Trace On Off Animation Multiple Animation SE s fer E Ee Co
64. ect only one object to define a construction as the next example demonstrates Example 2 Creating the perpendicular bisector of a side of a triangle 1 Select Triangle from the Lines toolbox 2 Move the to any place in the drawing window and A click Move to a second location and click and then to a b third location and click A triangle appears in the drawing window with the three points selected as vertices Note Depending on the speed at which you constructed these three points the sides of the triangle might appear during the construction Try doing this slowly and watch the triangle materialize 3 Select Perpendicular Bisector from the Construct toolbox Copying permitted provided TI copyright notice is included Chapter 1 Learning the Basics 1 11 1997 1999 Texas Instruments Incorporated Constructing Objects Continued 4 Movethe cursor as follows so that the message Perpendicular bisector of this side of the triangle appears Perpendicular bi ector of this side of the triangle When the cursor is in unoccupied space in the drawing window the Y appears Move the cursor near a side of the triangle The cursor changes from the 9 to the with the message Perpendicular bisector of this side of the triangle If the cursor is near a vertex of the triangle the cursor message This point appears Click once and the perpendicular bisector of the side of the triangle appears Handling ambiguities
65. ed P Page Setup command 2 3 2 4 paint brush pointer 1 10 paint bucket pointer 1 10 paper size and orientation 2 3 2 4 Parallel Line tool 7 3 Parallel tool 10 3 Paste command 2 5 Perpendicular Bisector tool 7 5 Perpendicular Line tool 7 2 Perpendicular tool 10 4 Point on Object tool 4 3 Point tool 4 2 Pointer tool 3 2 Pointer toolbox 3 1 pointers display types 1 10 pointing hand pointer 1 10 Points toolbox 4 1 Polygon tool 5 8 Preferences command 2 7 Print command 2 4 Printer Setup command 2 4 printing a construction file 1 22 2 4 printing options 2 4 printing to scale 2 3 2 4 Q Quit command 2 4 R Ray tool 5 5 Redefine Object tool 7 14 Redefine Point tool 7 13 redefining an object 7 14 redefining a point 7 13 Redo command 1 17 2 5 Reflection tool 8 2 Regular Polygon tool 5 9 removing selected objects 2 5 Replay Construction command 2 6 replaying each step of a construction 2 6 returning to a recently saved version 2 3 Revert command 2 3 Rotate and Dilate tool 3 5 Rotate tool 3 3 rotating an object 3 3 8 5 rotating an object automatically 3 3 Rotation tool 8 5 Index 3 Index Continued S Save and Save As command 2 2 saving a construction file 1 22 2 2 Scroll bars description 1 7 scrolling the drawing window 1 22 Segment tool 5 4 Select All command 2 6 selecting all objects 2 5 default colors and attribute settings 2
66. ents of the drawing window vertically or horizontally Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated Chapter 1 Learning the Basics 1 7 First Steps Continued About menus and toolboxes Operations are grouped by type in the pull down menus located on the menu bar and on the toolbar Once a tool is selected it remains active until you select another tool If the icon of the tool you want is shown on the toolbar select it by clicking once on the icon Commands in the menu bar must be selected each time they are used Descriptions of the Cabri Geometry II menus and toolboxes follow MENUS Apple Macintosh only File Edit Options Window Windows Help Windows DOS TOOLBOXES Pointer Points Lines Curves Construct Transform Macro Check Property Measure Display Draw Chapter 1 Learning the Basics Apple menu items or the Cabri Geometry II logo screen Commands for opening closing saving or printing constructions Commands for selecting or copying objects refreshing the drawing window or replaying constructions Commands for tool configurations hide show attributes preferences or setting software defaults Macintosh only Standard Windows display options Help options Tools for Selecting or for free hand transformations Constructing points Constructing linear objects Constructing circles arcs or conics
67. form You can reposition the active widow which allows you to work in another section of the drawing Note When you click and hold the mouse button the grasping hand cursor xr appears gt Use the scroll bars on the right and bottom sides of the drawing window Macintosh only Clicking on the scroll bars or buttons moves the drawing in a horizontal or vertical direction gt Press the COMMAND key Macintosh or the CTRL key Windows DOS then press down on the left mouse button The screen scrolls in the direction that you move the pointer Saving and printing You can save a construction to a file at any time using the Save and Save as commands in the File menu If the construction has never been saved these two commands have the same effect The Save dialog box allows you to name the construction and to choose the folder where it will be stored If the construction has already been saved the Save command is active only if the figure has been modified since the previous save The new version of the construction replaces the older one The Save as command allows you to save the figure to another folder or name without deleting the older version You can print your Cabri Geometry II constructions on a printer Printed constructions enhance understanding by providing accurate printed to scale manipulatives The entire one square meter drawing or a specified portion can be printed in both black and white or color Chapter 1
68. h or the ALT key Windows DOS to change the color to opaque white Example Construct a star polygon Fill the star polygon with the Regular Polygon tool with color 13 4 Chapter 13 Using the Draw Toolbox Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated The Thick tool changes the outline thickness of an object Changing outline thickness 1 Select Thick from the Draw toolbox 2 Select the thickness for the outline Select the thickness attributes BES zz 3 Select the object to be outlined Select an object Copying permitted provided TI copyright notice is included Chapter 13 Using the Draw Toolbox 13 5 1997 1999 Texas Instruments Incorporated The Dotted tool changes the outline pattern of an object Changing outline pattern 1 Select Dotted from the Draw toolbox 2 Select the pattern for the outline 3 Select the object to be outlined 13 6 Chapter 13 Using the Draw Toolbox Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated ox The Modify Appearance tool changes the appearance of a point the tick marks of an angle or a segment the type of coordinate system or the style of a comment Modifying appearances 1 Select Modify Appearance from the Draw toolbox CREE dl 1454 a 2 Select the appropriate option Select attributes to modify gt Points small medium large
69. he construction of all final objects Final objects must be determined by the initial objects A macro must respect the logical structure of the figure as it was constructed gt An object cannot exist without the points that define it For example a triangle cannot exist without its vertices Therefore when you select an object as an initial object the macro is able to refer to the points that define the object gt When you select Define Macro a macro generates its final objects with the object s existing attributes You can change these attributes during an intermediate step before you select Define Macro In this way you can hide objects using Hide Show in the Display toolbox that were selected as initial objects Because macros are intended as general purpose construction tools like those in the Construct toolbox comments and labels cannot be defined as final objects You can select measurements and numerical values as final objects but any text attached will not be duplicated when the macro executes gt The location of an arbitrary point on an object is determined by a random number generation Therefore the position of the point will be uncertain if it is selected as a final object gt Ifthe initial objects are different types for example lines and circles are different types they are not used in any order If the initial objects are the same type the macro uses them in the order in which they were selected as initia
70. he third point defines the location of the y axis If the axes are defined using existing points the points determine the scale of the axes Otherwise the scale is defined in one centimeter increments You can define multiple coordinate systems Equations and coordinates and grids must be specified relative to a specific coordinate system if multiple coordinate systems are defined After defining a new coordinate system you can manipulate it in the same manner as the default coordinate system documented in the previous tool Show Hide Axes Creating axes 1 Select New Axes from the Draw toolbox 2 Designate a point for the origin Click to place the origin point 9 Click to specify the location of the x axis 4 Click to specify the location of the y axis Click to place the x axis SL B Click to place the y axis Copying permitted provided TI copyright notice is included Chapter 13 Using the Draw Toolbox 13 9 O 1997 1999 Texas Instruments Incorporated The Define Grid tool displays the grid of a defined coordinate system Defining and deleting a grid 1 Select Define Grid from the Draw toolbox 2 Selectthe coordinate system to display the grid Click to select the coordinate system A 9 Delete the grid by selecting one of the grid points and These axes pressing DELETE 13 10 Chapter 13 Using the Draw Toolbox Copying permitted provided TI copyright notice is included
71. he toolbar You may select the font of this letter from Roman Old English or Fraktur Click on this button to cancel or disregard the macro definition Initial and final objects will be deselected This button is a toggle Click on it to show More or Less options Enter the name that you want to appear as a cursor message when the cursor is in the vicinity of the first object created by the macro Enter the message that you want to appear in the help window when the macro is selected Chapter 9 Using the Macro Toolbox 9 5 O 1997 1999 Texas Instruments Incorporated Define Macro Continued Save to file This button is a toggle Click on it to change the OK to OK and save and vice versa OK OK and save Click on OK to save the macro for use in your construction The macro is not saved to a separate file but is saved with your construction Once saved the macro can be used in future Cabri Geometry II sessions Click on OK and save to generate a save file dialog that allows you to save the macro to a file you specify Macros saved to individual files can be recalled in future constructions by using Open in the File menu to open the macro file Specifying a macro 1 Select Define Macro from the Macro toolbox 2 Enterthe requested information into the dialog box to save your macro If you receive a warning message instead of the dialog box a problem exists in the definition of initial and final objects Review Rules fo
72. he up or down arrow buttons in this field to change the number of screen colors Check the Status field to determine if these values are acceptable Click on OK to continue Memory Setting The amount of memory available and the number of colors displayed determine the number of objects that can be constructed You can click on the up and down arrow buttons in this field to change the amount of memory allocated to Cabri Geometry II The value on the left indicates the amount of memory required to run Cabri Geometry II on your computer in black and white The value on the right indicates the amount of memory currently available on your computer Check the Status field to determine if these values are acceptable Click on OK to continue Objects The amount of memory available is directly related to the number of objects that can be constructed Click on this button to optimize the number of objects that can be constructed If memory is limited Cabri Geometry II will probably suggest that fewer colors be used to construct more objects For optimal performance Cabri Geometry II attempts to allocate enough memory to construct at least 300 objects Colors The number of colors used to display objects is directly related to the amount of memory required to execute Cabri Geometry II Click on this button to optimize the number of colors displayed If you use other applications regularly that require 256 colors you may wish to optimize the number of col
73. he values were without units Copying permitted provided TI copyright notice is included Chapter 11 Using the Measure Toolbox 11 7 O 1997 1999 Texas Instruments Incorporated Calculate Continued Function buttons on the calculator contain mathematical functions Click on a function button to display its operation in the edit window The following table describes the functions available from the calculator function buttons Function Button Off Cancel Inv Inv SIN Inv COS Inv TAN Inv Inv LN Inv LOG SIN COS TAN LN LOG ABS gt Chapter 11 Using the Measure Toolbox Operation Turns off calculator Calculator disappears Clears last entry Generates the inverse of the following functions Calculates the arcsine Calculates the arccosine Calculates the arctangent Calculates square of a number x Calculates the natural antilogarithm e Calculates the common antilogarithm 10 Calculates the sine Calculates the cosine Calculates the tangent Calculates the square root Vx Raises a number to a power y Calculates the natural logarithm base e The value used for e is 2 718281828 Calculates the common logarithm Calculates the absolute value Includes the value of x pi 3 141592654 On the Macintosh OPTION p may also be used for T Adds parentheses The keys may also be used Adds mathematical operators addition subtraction multiplication and div
74. hile pressing the mouse In this case a point will not be created Chapter 1 Learning the Basics Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated Using the Undo Redo command You can cancel an operation that has just been completed by using the Undo Redo command in the Edit menu Only the most recent operation can be undone To review additional steps in your construction see the Replay Construction command in the Edit menu This command allows you to replay each step of a construction Deleting objects Delete objects by selecting them and then pressing DELETE or selecting the Clear command in the Edit menu Select multiple objects by pressing the mouse in free space and dragging a marquee rectangle around the objects to be deleted Only objects that are fully enclosed by the marquee rectangle will be deleted All selected objects are displayed in marquee outline Select all objects in the drawing window by using the Select All command in the Edit menu Then press DELETE or select Clear from the Edit menu You can also clear the entire drawing window by pressing COMMAND A Macintosh or CTRL A Windows DOS simultaneously releasing then pressing DELETE WARNING When an object is deleted all objects that depend on that object are deleted as well It is possible to delete an entire construction by deleting a single point If you accidentally delete an object you can recover it b
75. illustrations are from the Macintosh version several are from the Windows and DOS versions Due to space limitations we could not show every illustration for each version Therefore some illustrations in this guidebook may be slightly different on your computer Key names are shown in small capital letters such as CTRL for the Control key and ESC for the Escape key The RETURN key on the Macintosh and the ENTER key on the PC keyboard perform the same function In this guidebook Press ENTER means to press either ENTER or RETURN The Cabri Geometry II Guidebook contains the following chapters and appendices Definitions Chapter 1 describes the basic operations for using Cabri II starting with checking system requirements for installing the software through constructing objects to saving and printing a construction file Chapter 2 describes the Cabri II menus and provides step by step procedures for using them Chapters 3 through 13 describe the Cabri II tools and provide step by step procedures for using them Each chapter discusses a specific group of Cabri II tools The following definitions will help you in your understanding of this guidebook point When used as an instruction point means to place the screen pointer on top of the object you wish to select click Click means to press and release the mouse button quickly usually when pointing to a specific location double click Double click means to click the mouse
76. in unoccupied space to observe all basic and independent points which display as flashing You can also double click on a label comment numerical value or the table to automatically invoke the appropriate edit tool for the object Selecting or moving objects l Select Pointer from the Pointer toolbox 2 Selecting Select an object by pointing and clicking Point when the cursor message appears for that object This triangle Select multiple objects by pressing the SHIFT key when selecting objects or by enclosing them in a marquee rectangle as shown in the example below Deselect an object by pointing to an unoccupied location and clicking Click to select e Moving Move an object by dragging it to a new location A Note Sometimes multiple objects cannot be moved concurrently Dependent objects cannot be moved directly If a selected object cannot be moved directly the cursor reverts to the cross hair instead we triangle of the dragging hand amp cursor Point SY Example Selecting multiple objects using a marquee rectangle Drag marquee X iL db Release mouse rectangle button to select around objects objects la 3 2 Chapter 3 Using the Pointer Toolbox Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated The Rotate tool rotates an object about its geometric center or about a defined point in a freehand manner Rotating objects l Select
77. ing window If the object is dependent cannot be dragged the pointer changes to the selection hand y and then reverts to the cross hair cursor Example 3 Evaluating basic points independent objects and dependent objects 1 Construct the perpendicular bisector of a side of a triangle see Example 2 The vertices are basic points the triangle is an independent object and the perpendicular bisector is a dependent object 2 Basic points Select Pointer from the Pointer toolbox Move the near a vertex of the triangle the cursor changes to the with the message This point Press and hold down the mouse button The cursor changes to the and then almost immediately to the This point When you drag the point the triangle changes its size and shape and the perpendicular bisector changes accordingly These results are characteristics of using a basic point An inquiry that could be made here is When does the perpendicular bisector of one side of a triangle contain a vertex of the triangle Copying permitted provided TI copyright notice is included Chapter 1 Learning the Basics 1 13 O 1997 1999 Texas Instruments Incorporated Constructing Objects Continued 1 14 Chapter 1 Learning the Basics Independent objects Move the near a side of the triangle the cursor changes to the with the message This triangle Press and hold down the mouse button The cursor changes to the
78. int Note By definition an arc created on a circle has a radius equivalent to that of the circle Creating an arc 1 Select Arc from the Curves toolbox 2 Create or select the initial endpoint of the arc Create the initial point OR 3 Move the cursor from the initial endpoint and click to Create the second point create or select the curvature point 4 Move the cursor from the curvature point and click to Create the final point create or select the final endpoint Modifying an arc Change an arc by dragging any of its three points If an arc is defined by basic points grab the arc away from the points and drag it to a new location Example Construct a circle Construct an arc on the circle Copying permitted provided TI copyright notice is included Chapter 6 Using the Curves Toolbox 6 3 O 1997 1999 Texas Instruments Incorporated The Conic tool creates a parabola hyperbola or ellipse defined by five points Each point can assume a new definition depending on its location on the conic Creating a conic 1 Select Conic from the Curves toolbox 2 Clickto create or select the five points Create three points Note After placement of three points the conic is drawn to aid you in placing the remaining points b Shape with the fourth point Complete with the fifth point This ellipse Modifying a conic Drag any point to reshape Move a conic by grabbing it away from its defining points and
79. ision The keyboard may also be used for addition for subtraction for multiplication and for division Performs the calculation Pressing the return key also performs the calculation Syntax none none none arcsin value arccos value arctan value sqr value exp value 10 value sin value cos value tan value sqrt value valuel value2 Ln value Log value Abs value T value T 56 Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated You can also enter mathematical functions from the keyboard The following table lists the syntax for the mathematical functions supported by the calculator Function Absolute Value Square Square Root Logarithm base 10 Natural Logarithm Exponential ex Lowest Integer Floor Greatest Integer Ceiling Round to nearest integer Sine Cosine Tangent Arc Sine Arc Cosine Arc Tangent Hyperbolic Sin Hyperbolic Cos Hyperbolic Tan Arc Hyperbolic Sine Arc Hyperbolic Cosine Arc Hyperbolic Tangent Minimum of n1 n2 Maximum of n1 n2 Pi 10 Exponent Copying permitted provided TI copyright notice is included 1997 1999 Texas Instruments Incorporated Syntax ABS value abs value Abs value SQR value sqr value Sqr value Sq value SQRT value sqrt value Sqrt value SqRt value N value log10 value Log10 value lg value LN walue In value Ln value EXP va
80. it to a new location 5 6 Chapter 5 Using the Lines Toolbox Copying permitted provided TI copyright notice is included 1997 1999 Texas Instruments Incorporated The Triangle tool creates a triangle defined by three points vertices A point placed on a triangle can be moved along the entire perimeter of the triangle Creating a triangle 1 Select Triangle from the Lines toolbox 2 Clickto create or select the initial vertex Create the first vertex FE eb 3 Move the cursor from the initial vertex and then Create the second vertex click to create the second vertex Repeat to create or e select the final vertex US Create the final vertex Modifying a triangle Move a triangle as an object by dragging one of its sides Change a triangle by dragging any of its vertices Note Vertices dependent on other objects may restrict movement or modification of the triangle Copying permitted provided TI copyright notice is included Chapter 5 Using the Lines Toolbox 5 7 1997 1999 Texas Instruments Incorporated The Polygon tool constructs an n sided polygon of any shape defined by n points vertices A point placed on a polygon can be moved along the entire perimeter of the polygon Creating a polygon 1 Select Polygon from the Lines toolbox 2 Clickto create or select the initial vertex Create the initial vertex e Create additional vertices 3 Move the cursor from the initial vertex and then cli
81. l objects gt The number of objects created by a macro is limited only by available system memory gt Macros are automatically saved with any construction in which they are used You can also save macros in a tool configuration file see Options Menu in the chapter Using the Menus gt The first final object you select is considered the primary object of the macro If a name is entered in the Name for first final object field it will be the cursor message when the cursor is in the vicinity of the primary object For the Macintosh the Name for first final object field is found under the More option in the Macro dialog box For the Windows and DOS versions the Name for first final object field is already visible in the dialog box gt To save multiple definitions for a single macro select the initial and final objects for the new definition and save it with the same name The dialog box generated in Define Macro allows you to select previous macros when saving a macro For example you may want to define a macro that constructs a triangle with vertices at the midpoints of an initial triangle a polygon with vertices at the midpoints of a three sided polygon and a triangle with vertices at the midpoints of a three sided regular polygon A single macro can perform all of these operations if each case is identified with appropriate initial and final objects and saved to the same macro file 9 2 Chapter 9 Using the Macro Toolbox Copying per
82. lation point Note You can dilate an object automatically by using K a point the Animation tool when the Dilate tool is visible on the toolbar See the chapter Using the Display Toolbox for more information about Animation Drag object along a linear path 3 4 Chapter 3 Using the Pointer Toolbox Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated The Rotate and Dilate tool rotates and dilates an object about its geometric center or a defined point in a freehand manner See the Rotate tool and the Dilate tool for more information Using Rotate and Dilate Select Rotate and Dilate from the Pointer toolbox Note You can rotate and dilate an object automatically by using the Animation tool when the Rotate and Dilate tool is visible on the toolbar See the chapter Using the Display Toolbox for more information about Animation Examples Freehand rotation and dilation of an object about its geometric center Drag object in a circular or linear path Freehand rotation and dilation of an object about a defined point Select a transformation point Drag object in a circular or linear path This point Copying permitted provided TI copyright notice is included Chapter 3 Using the Pointer Toolbox 3 5 O 1997 1999 Texas Instruments Incorporated Chapter 4 Using the Points Toolbox The Points toolbox contains the tools associated with creating or c
83. lay the coordinate system The illustration below shows the location of the Draw toolbox on the Cabri Geometry II toolbar along with its pull down menu Procedures for using Draw tools including examples are presented in this chapter in the order in which the tools appear on the pull down menu Draw toolbox LOOL EEk e ot a v Hide Show Er Color Vi Fill Thick Dotted i Modify Appearance Show Hide Axes E New Axes EL Define Grid L d O 1997 1999 Texas Instruments Incorporated The Hide Show tool hides from view all selected objects and their accompanying labels and measurements It also shows selected hidden objects Hiding objects does not alter any of their attributes or geometric roles in a construction Hiding and showing objects 1 Select Hide Show from the Draw toolbox 2 Select the object you want to hide Click to hide visible objects Note Hidden objects are shown in dotted outline when the Hide Show tool is active otherwise they are invisible This line Pressing the OPTION key Macintosh or the CTRL key DOS filters the cursor messages for all hidden objects allowing easier access to visible objects 3 Select a hidden object to make it visible again Pressing SHIFT and clicking in free space makes all hidden objects visible Selected objects are hidden Pressing OPTION SHIFT Macintosh or CTRL SHIFT DOS filters the cursor messages for all visible objects allowing easier a
84. le name file type or location or saving an existing file Enter the information requested in the dialog box to save the file For the Macintosh only you can save the file as a text file if you wish to view its contents with another program For example you can copy data in the Cabri Geometry II table to word processing or spreadsheet files for further analysis using this method Revert The Revert command returns the construction to its most recently saved version This feature is useful if you make modifications to your file that you later want to disregard Revert is especially useful when demonstrating a construction in the classroom Show Drawing Macintosh DOS Show Page Windows The size of the drawing window in which you build a geometric construction is one meter by one meter Show Drawing Show Page lets you view this entire region The entire figure with the exception of text or measurement is displayed in the following dialog box shown below A small window represents the portion of your construction that is visible on your computer screen The construction cannot be manipulated at this stage but you can position the window anywhere within the one square meter limits of the construction Drag the window to move it to a new section of your construction Click OK or Cancel to accept or cancel the operation gt For the Macintosh the visible part of your construction can also be moved by clicking on the scroll bar
85. lected prior to the multiple animation multiple animation automatically enters tabulation data into the table at a predetermined interval See Tabulate in the chapter Using the Measure Toolbox Using Multiple Animation 1 Select Multiple Animation from the Display toolbox Drag the animation spring 2 Placethe cursor on any object and drag an animation spring in the opposite direction to the intended animation Select as many objects as desired for the animation Redefine any animation spring by selecting the object again The farther away the spring is pulled the faster the Press ENTER to begin object is animated The animation spring remains in place after the mouse button is released If the object does not lie on a defined path the animated direction is 180 degrees from the spring Otherwise the object is animated relative to its defined path Multiple Animation does not work with other Pointer tools as does Animation Note The point on the circle was selected to trace 9 Press ENTER to begin the animation 4 Stopthe animation by clicking anywhere on the drawing Copying permitted provided TI copyright notice is included Chapter 12 Using the Display Toolbox 12 11 O 1997 1999 Texas Instruments Incorporated Chapter 13 Using the Draw Toolbox The Draw toolbox contains the tools associated with drawing features in Cabri Geometry II These features allow you to change the appearance of objects or disp
86. licking on the Help menu option in the menu bar of the Cabri Geometry II drawing window and selecting Help or press Fl A window appears at the bottom of your drawing that contains information about the tool currently selected Select additional tools to see their help information Remove the help window by clicking on the help icon again or by pressing Fl Chapter 1 Learning the Basics 1 9 Pointers that guide you Several types of pointers exist to help guide you through your constructions The pointers are illustrated below Pointer Cursor looks like arrow k The pointer is in the toolbar menu bar or scroll bars cross hair The Pointer tool is active construction pencil 8 A construction tool is active selection pencil 0 A construction tool is active and a point can be placed on an object pointing hand A point can be selected selection hand M An object is dependent or to show the intermediate stage between selecting an object and dragging dragging hand 1 An object can be moved open hand W The COMMAND key Macintosh or the CTRL DOS is pressed grasping hand y The window can be scrolled using the mouse magnifying glass Q An ambiguity exists l beam I Text or numbers can be entered or edited paint brush f Color or attributes can be changed paint bucket 2 An object can be filled with a pattern or color crossed lines En The Comment option is active column width The column width of the
87. lue exp value Exp value FLOOR value floor value Floor value CElL value ceil value Ceil value ROUND value round value Round value SIN value sin value Sin value COS value cos value Cos value TAN value tan value Tan value ARCSIN value arcsin value asin value ArcSin value ARCCOS value arccos value acos value ArcCos value ARCTAN value arctan value atan value ArcTan value SINH value sinh value SinH value sh value COSH value cosh value CosH value ch value TANH value tanh value TanH value th value ARCSH value arcsh value ArcSh value ARCCH value arcch value ArcCh value ARCTH value arcth value ArcTh value MIN valuel value2 min valuel value2 Min valuel value2 MAX valuel value2 max valuel value2 Max valuel value2 Tr II PI pi Pi 10 value Chapter 11 Using the Measure Toolbox 11 9 Calculate Continued Entering a calculation l Select Calculate from the Measure toolbox Enter an expression in the edit window using any combination of the following methods gt Click on any of the function buttons gt Point to any numerical value in the drawing window and click to copy it gt Type in a function or a number Click the button or press ENTER to perform the calculation and display the result in the result window Click in the result window to copy the result to the drawing window Click again in the drawing
88. ly Choose to attach a language to the Cabri Geometry II software Cabri Geometry II can recognize any language module that is in the same folder This command integrates the language as part of the Cabri Geometry II software gt Macintosh only Choose to exclude a language from the Cabri Geometry II software If the And save in a file option is selected the language will be saved in a separate file and can be reattached later If the And save in a file option is not selected the language will not be available unless you reinstall the software for core languages or place a language file in your Cabri folder Loquo sel lings Check ar umcherk the laaguagelsi gau want do Bead wiih m inge incluse ho labri sinlhing in ar a Decade from abri 9 Eng E Boa save 10 a tile Chapter 2 Using the Menus Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated Font Macintosh Windows The Font command in the Macintosh and Windows versions lets you view the fonts installed on your computer The Y symbol in the Macintosh version is shown next to the default font The default font applies to labels comments numerical values and properties You can specify fonts independently for the Label Comments or Numerical Edit tools by first selecting the tool and then changing the font in this menu Point to another font to select it as the new default font Note The Win
89. m the Display toolbox 2 Place the cursor on any object and drag the Drag the animation spring animation spring in the opposite direction to the intended animation The farther away the spring is pulled the faster the object is animated The animation begins when the mouse button is released and the spring collapses If the Pointer tool is visible in the toolbar and the object does not lie on a defined path the animated direction is 180 degrees from the spring Otherwise the object is animated along its defined path Release the mouse button to begin If the Rotate Dilate or Rotate and Dilate tool is visible in A the Pointer toolbox and the object can be transformed v the animation will be relative to the visible Pointer tool For example if the Rotate tool is visible the object is rotated automatically 9 Stop the animation by clicking anywhere on the drawing 12 10 Chapter 12 Using the Display Toolbox Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated The Multiple Animation tool automatically moves multiple objects along specified paths Direction and speed are determined by the objects individual animation spring You can increase or decrease the speed of the total animation by pressing or respectively during the animation Objects defined by Trace are displayed at a specific interval relative to the length of the path If the tabulation table is se
90. me If more than one Cabri Geometry II preferences file is in either of these folders Cabri Geometry II will use the first file that it finds The Cabri Geometry II preferences file and preferences folder are created when a preference file or tool configuration file is saved to disk for the first time This menu option in the DOS version is very similar to the Macintosh version However only one preference file cabri2 prf can exist in the same subdirectory Additionally when you select Preferences and save to a file the new preferences will be used when you start Cabri Geometry II the next time To change preferences go back to Preferences and change the settings or set them back to Factory Settings Copying permitted provided TI copyright notice is included Chapter 2 Using the Menus 2 7 O 1997 1999 Texas Instruments Incorporated Options Menu Continued Macintosh DOS Windows A teas Preferences 2 Lori eptians Erar amp nalm Syeulern ar 3 Mumbar af ah jecix in incu NEN T Laci options Default Styles Geometry System options UM E rumbme PO Liaise Display Precision and units Coordinate System and equations larus dd palnis E Lik goles Lotus el inesi El Crowle Number of decimal digits Units Dicplaged Prezician I masian formes Length 2 hd Centimeter cm Leigh att am Line HH y TE
91. mitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated The Initial Object tool specifies the initial object s needed to define the given conditions for a macro See Rules for creating macros for more information Specifying initial object s l Select Initial Object from the Macro toolbox 2 Click once to select an object Select initial objects The selected object displays in marquee outline Selected objects 9 Optional Click again on the object to deselect it The object returns to its original outline Copying permitted provided TI copyright notice is included Chapter 9 Using the Macro Toolbox 9 3 1997 1999 Texas Instruments Incorporated 9 4 The Final Object tool specifies the final object s that will result from the initial objects defined for a macro See Rules for creating macros for more information Specifying final object s l Select Final Object from the Macro toolbox 2 Click once to select an object Select final objects This circle Select objects The selected object displays in marquee outline 9 Optional Click again on the object to deselect it The object returns to its original outline Chapter 9 Using the Macro Toolbox Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated The Define Macro tool stores a macro in memory A dialog box appears for you to name the macro
92. n a toolbox or tool press the BACKSPACE key while pressing and holding the mouse button down Add a password to prevent the tool configuration from being changed inadvertently Save your new tool configuration If you save it to a tool configuration file you can use the same configuration in future sessions of Cabri Geometry II Otherwise the configuration is only valid for the current session If you want to return the tool configuration back to the factory configuration click on the Factory Settings button Copying permitted provided TI copyright notice is included Chapter 2 Using the Menus 2 9 1997 1999 Texas Instruments Incorporated 2 10 Options Menu Continued Languages Macintosh Windows The Languages command lets you change the language of Cabri Geometry II menus dialog boxes messages and labels You may change the language at any time during a session Macintosh Windows v E English Open a Language File 17 x El French A i tj Bins German Look in 3 Cabri Ee EZ Spanish C Figures Macros Language settings ES Deutch cal g g g E Eng GE cgl 2 English cgl E Espa ol cal A Francais cal ltaliano cgl File name Open Files of type Language Files CGL Cancel The Language settings command opens a dialog box that lets you gt Choose the language to be used the next time you start Cabri Geometry II gt Macintosh on
93. nd 3 may be reversed By this point A dependent line is created Modifying a parallel line Move a parallel line by dragging the point through which it passes The line cannot be altered directly because it is by definition a dependent object Example Create a point and the Select a linear object parallel line is constructed all Parallel to this side of the polygon Copying permitted provided TI copyright notice is included Chapter 7 Using the Construct Toolbox T 3 O 1997 1999 Texas Instruments Incorporated The Midpoint tool creates a point at the midpoint of a segment or vector the side of a polygon or between two points Creating a midpoint 1 Select Midpoint from the Construct toolbox 2 Pointto one of the following and click to select Two points create or select A segment The side of a polygon Modifying a midpoint Modify a midpoint by modifying its defining objects 7 4 Chapter 7 Using the Construct Toolbox Copying permitted provided TI copyright notice is included 1997 1999 Texas Instruments Incorporated The Perpendicular Bisector tool creates a line that is perpendicular to a segment a vector a side of a polygon or between two points and passes through the midpoint of the selected object Creating a perpendicular bisector 1 Select Perpendicular Bisector from the Construct toolbox 2 Pointto one of the following and click to select A segment or a vector The
94. ned by an angle mark or three selected points The second point must be the vertex If you use Angle to select three points angle measurements default to angles from 0 to 180 degrees interior angles If you want measurements greater than 180 degrees reflex angles you must first mark the angle with Mark Angle in the Display toolbox The default measurement is displayed in degrees You can change its precision by using Numerical Edit in the Display toolbox You can add a comment to the measurement immediately after creating it by typing the text See Comments in the chapter Using the Display Toolbox for more information on adding a comment to a numerical value Checking angles 1 Select Angle from the Measure toolbox 2 Ifan angle mark is displayed on the angle select the Select three points angle mark to measure the angle Otherwise select three points to specify the angle The second point must be the vertex This point The result is displayed 45 000 Moving measurements Reposition the measurement by selecting it with the Pointer tool and dragging it to a new position The measurement moves with the object it measures unless you pull it away When you pull it away from the object the measurement momentarily resists before pulling away Copying permitted provided TI copyright notice is included Chapter 11 Using the Measure Toolbox 11 5 O 1997 1999 Texas Instruments Incorporated The Equation am
95. on the diskette and follow the directions on the screen Windows 3 1 1 Insert the Cabri Geometry II for Windows diskette 1 in your floppy disk drive 2 From Program Manager click on RUN and enter A SETUP and then follow the screen prompts Installing Cabri Geometry Il on a network DOS DOS compatible computers PCs 386 or better and running MS DOS 3 3 or later EGA VGA SVGA video adapter and a color monitor 3 Mb RAM minimum memory installed Hard disk with 2 5 Mb available for program and demonstration files Mouse or an equivalent pointing device Windows 95 386 PC or better required 486DX recommended VGA SVGA video adapter and a color monitor 6 Mb RAM minimum memory installed 2 Mb available hard disk space for program and demonstration files Mouse or an equivalent pointing device DOS 1 Insert the Cabri Geometry II DOS diskette in your floppy disk drive 2 At the DOS prompt enter A NINSTALL or B INSTALL and then follow the screen prompts Windows 95 1 Insert the Cabri Geometry II for Windows diskette 1 in your floppy disk drive 2 Click on START RUN and enter A VSETUP and then follow the screen prompts If you have purchased the network license for Cabri Geometry II you may run the software on your network Use network procedures that are compatible with your network to install Cabri Geometry II See your Macintosh Windows or DOS User s manual or
96. onstructing points in Cabri Geometry II These features allow you to create points anywhere in the plane on objects or at the intersection of two objects The illustration below shows the location of the Points toolbox on the Cabri Geometry II toolbar along with its pull down menu Procedures for using tools in the Points toolbox including examples are presented in this chapter in the order in which the tools appear on the pull down menu A Lada dyd 24 8 v Point Point on Object Intersection Point s EE Copying permitted provided TI copyright notice is included Chapter 4 Using the Points Toolbox 4 1 O 1997 1999 Texas Instruments Incorporated The Point tool creates points that can be placed anywhere in the plane on existing objects or at the intersection of any two objects If you create a point on an object it remains on that object throughout any changes made to the point or to the object If a point is at the intersection of two objects the point remains at the intersection throughout any changes made to the object s If you change the objects so that they no longer intersect the intersection point disappears but reappears if the objects intersect again Creating a point 1 Select Point from the Points toolbox AOA Sade 1474 Al 2 Move the cursor to any location in the plane where Create points in free space you want a point When the cursor message appears a click once to create a point Ifin free
97. or circle Once attached to the object labels cannot be detached You can position them near the object using the Pointer and they will retain that position through all modifications to the object Copying permitted provided TI copyright notice is included Chapter 1 Learning the Basics 1 19 1997 1999 Texas Instruments Incorporated Constructing Objects Continued 1 20 Chapter 1 Learning the Basics Example 7b Adding labels after construction Select Triangle from the Lines toolbox Construct a triangle on the drawing window Select Label from the Display toolbox Move the near a vertex of the triangle The cursor changes to the I beam 1 the cursor message This point appears Click once and an edit box appears Note Macintosh only On the top row are four options that generate pull down menus C for font character set S for font size F for font style and the last box for text color Type a name for the vertex and then click anywhere outside the edit box The box disappears but the name remains Repeat for the other vertices This point New York City Los Angeles Miami You can also apply comments to measurements immediately after creating them Just begin typing characters after creating the measurement Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated Example 8 Comments 1 Select Triangle from the Lines toolbox 2
98. or using tools in the Lines toolbox including examples are presented in this chapter in the order in which the tools appear on the pull down menu Defined objects in Cabri Geometry II such as triangles and polygons can be translated rotated or dilated Refer to the chapters Using the Pointer Toolbox and Using the Transform Toolbox for more information about these methods lid 40 1124 418 v Line Segment Vector Triangle A Polygon iui Regular Polygon Copying permitted provided TI copyright notice is included Chapter 5 Using the Lines Toolbox 5 1 O 1997 1999 Texas Instruments Incorporated The Line tool creates a line that extends infinitely in both directions through a point at a specified slope The slope can be specified in free space or defined by a second point Note You can constrain the slope to 15 degree increments by pressing the SHIFT key when creating or modifying a line Creating a line l Select Line from the Lines toolbox 2 Clickto create or select the initial point of the line Create a point Specify the slope 9 Specify the slope by positioning the line in the desired orientation and clicking When specifying slope you can create a point on an object select an existing point or click in unoccupied space Modifying a line Translate a line without changing the slope by selecting the Pointer tool from the Pointer toolbox Then using the Pointer gt Fora lin
99. ors Given limited memory this decreases the number of objects that you can construct Copying permitted provided TI copyright notice is included Chapter 1 Learning the Basics 1 5 O 1997 1999 Texas Instruments Incorporated First Steps Continued The Cabri Geometry Il window The illustration below shows the Cabri Geometry II window This window contains the essential elements of the Cabri Geometry II software A description of each element follows the illustration Note The screen shown below illustrates the Macintosh version Screens on Windows and DOS systems are similar but slightly different Help Icon Toolbar Menu Bar Close E A Figure Zoom Box E Box EH LL Attribute Attribute M Palette Icons C This circle Drawing Window Size i c Box Scroll Bars Help Window Pointer Message Selection Pointer Elements of the Cabri Geometry Il window Drawing Window This region is where you build geometric constructions Menu bar The menu bar contains common graphic user interface menus for file management and editing together with Cabri Geometry II options 1 6 Chapter 1 Learning the Basics Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated Toolbar Attribute icons Help Icon Macintosh Help menu option Windows DOS Selection pointer Close box Zoom box Macintosh Windows Size box
100. ow will be empty for that column Comments that you later add to tabulation values are copied into the first row in that value s column See Comments in the chapter Using the Display Toolbox for instructions on adding a comment to a numerical value The values in a column are not displayed unless the full width of the column is visible Each row of the table is numbered sequentially in the first column on the left You can enter single values into the table when at least one object changes and you press the TAB key You can collect data automatically by selecting the table and then using Animation Data is stored in the table for each of the defined tabulation values at a rate relative to the animation You can delete columns or rows and change column width see page 11 13 The maximum number of rows is 999 The number of columns is limited by memory You can make only one table for each Cabri Geometry II drawing You can copy the values in a table to another program such as a spreadsheet program First select the table with the Pointer tool and use Copy from the Edit menu Then go to the target program and paste the data Note The example tables shown on the following pages are for the Macintosh version using the Chicago font The display attributes options are not available for the Windows and DOS versions therefore the fonts displayed on your screen will be different Copying permitted provided TI copyright notice is included Cha
101. ox 2 Pointto the line segment ray vector or side of a Select a linear object polygon that will be perpendicular to the constructed line and click to select Perpendicular to this side of the triangle 3 Click to create or select the point through which Select a point the perpendicular line will pass ne this point Note The order of steps 2 and 3 may be reversed A dependent line is created Modifying a perpendicular line Move a perpendicular line by dragging the point through which it passes The line cannot be altered directly because it is by definition a dependent object Example Select a linear object Create a point and the perpendicular line is constructed tll 3h Perpendicular to this direction 7 2 Chapter 7 Using the Construct Toolbox Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated The Parallel Line tool creates a line that passes through a point and is parallel to a selected linear object line segment ray vector or side of a polygon Creating a parallel line 1 Select Parallel Line from the Construct toolbox 2 Pointto the line segment ray vector or side of a Select a linear object polygon that will be parallel to the constructed line and click to select Parallel to this side of the triangle 3 Designate the point through which the parallel line Select a point will pass Note The order of steps 2 a
102. ox 7 1 constructing objects 1 10 construction pencil pointer 1 10 Copy command 2 5 creating angle bisectors 7 6 arcs 6 3 axes 13 9 calculations 11 10 circles 6 2 comments 12 3 compass circles 7 8 conics 6 4 intersection points 4 4 inverse points 8 7 labels 12 2 lines 5 2 loci 7 11 macros rules for 9 2 marked angles 12 7 measurement transfers 7 9 midpoints 7 4 numerical values 12 5 parallel lines 7 3 perpendicular bisectors 7 5 perpendicular lines 7 2 points 4 2 points on an object 4 3 polygons 5 8 rays 5 5 reflections 8 2 regular polygons 5 9 segments 5 4 symmetrical images 8 3 triangles 5 7 vector sum 7 7 vectors 5 6 creating and selecting points basics 1 10 cross hair pointer 1 10 crossed lines pointer 1 10 Curves toolbox 6 1 Cut command 2 5 D Defaults command 2 7 Define Grid tool 13 10 Define Macro tool 9 5 defining a grid 13 10 deleting objects 1 17 determining dependent and independent objects 1 12 Dilate tool 3 4 dilating an object 8 6 objects 3 4 3 5 Index 1 Index Continued Dilation tool 8 6 Display toolbox 12 1 Distance amp Length tool 11 2 Dotted tool 13 6 dragging hand pointer 1 10 dragging objects 1 13 Draw toolbox 13 1 drawing window 1 6 E Edit menu 2 5 2 6 editing comments 12 4 labels 12 2 numerical values 12 5 Equation amp Coordinates tool 11 6 Equidistant tool 10 5 examples arcs creating 6 3 basic
103. p Coordinates tool displays the equation of a line circle conic or coordinates of a point with respect to a default coordinate system You can change the precision by using Numerical Edit in the Display toolbox You can change the form of the equation by using the options under Preferences in the Options menu or by selecting the equation and pressing TAB Checking equation or coordinates 1 Select Equation amp Coordinates from the Measure toolbox 2 Select the point line circle or conic whose equation you want to find If multiple coordinate systems are present you must select the coordinate system before the equation is displayed Select an object The result is displayed Select a point to display its coordinates Equation of this circle x 0 722 y 0 4 2 x 0722 y D 2 0 733 0 490 Modifying the equation or coordinates The equation is updated as you modify the object The values composing the equation are based on the coordinate system Reposition the equation by selecting it with the Pointer tool and dragging it to a new position The equation moves with the object it measures unless you pull it away When you pull it away from the object the equation momentarily resists before pulling away 11 6 Chapter 11 Using the Measure Toolbox Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated The Calculate tool opens a calculator
104. pter 11 Using the Measure Toolbox 11 11 1997 1999 Texas Instruments Incorporated Tabulate Continued Using Tabulate 1 Select Tabulate from the Measure menu Define the table by dragging the marquee rectangle to Drag rectangle to size the table size the table You can resize the table by dragging the lower right corner P Click on each value to be tabulated Point to a numerical value and click to enter it into the table Area 1 2601 cm2 Radius 0 63 cm T This number Press TAB to record new values Press the TAB key to tabulate entries Note At least one value must change before a new row is entered To tabulate values automatically first select the table 12 5664 and then animate the construction using Animation or Multiple Animation in the Display toolbox When selected the table displays with a marquee rectangle around it Adding values l Select Tabulate and then point to the value and click The new value is added in the next available column and row Blank cells in the new column will be filled with a hyphen Press TAB to record new values 11 12 Chapter 11 Using the Measure Toolbox Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated Sizing a table and deleting columns and rows Sizing a table 1 Click on the table Point to the column divider and drag An edit window is displayed around th
105. pying permitted provided TI copyright notice is included Chapter 12 Using the Display Toolbox 12 1 1997 1999 Texas Instruments Incorporated The Label tool attaches a label to a point line or circle When you select an object with the Label tool an edit box appears in which you can enter the label text The edit box contains pull down menus that allow you to specify the attributes of the text Macintosh only You can also attach a label to a point immediately after it is created This method limits text to five characters and you cannot edit when entering the text To set attribute defaults for font size and style of the text use the Font Size and Style commands in the Options menu in the Macintosh version or the Options Preferences menu in the Windows version Creating a label 1 Select Label from the Display toolbox 2 Clickto select a point line or circle Select a point line or circle An edit box appears A This point 9 Ifthe attributes are already as you desire continue to step 4 If not select the font size style and color of the text to be entered Press and hold the mouse button while pointing to the small icon boxes at the Enter a label top of the edit box The C S F and color block M change the character font the character size the font style and the character color 4 Type the label text on the keyboard Modifying a label Move a label by dragging it to a desired location
106. quence commands for exporting items in the drawing to the clipboard and commands for selecting and deleting items in the drawing Undo Redo Keyboard shortcut COMMAND Z Macintosh or CTRL Z Windows DOS The Undo Redo command lets you undo the previous action or redo the undone action These commands have a recall of one action only If you wish to review additional action steps see Replay Construction on the next page The Windows version has an option in the Options Preferences menu to let you disable the Undo command Disabling Undo provides for faster manipulation of very large and complex figures Cut Copy Paste For the Macintosh and Windows versions the Cut Copy and Paste commands use the Macintosh Windows clipboard to import and export selected items to and from a construction For the DOS version these edit commands use a custom Cabri Geometry II clipboard Cut removes the selection from the construction and places it on the clipboard Macintosh Windows or in the file CLIPCAB FIG DOS Copy places the selected objects on the clipboard without removing them from the construction Additionally for the DOS version the selection is saved to a file depending on the type of items that are selected Copying a construction creates two files CLIPCAB BMP and CLIPCAB FIG Copying a table that contains data creates the file CLIPCAB TXT Therefore to copy and paste a construction or table into another application such as a wor
107. r font the character size the font style and the character color 4 Typeanumerical value 5 Press and hold the mouse button while pointing to the U Macintosh in the edit box or press CTRL U Windows and DOS to assign units to the asi interactive number Millimeter Centimeter Note The Windows and DOS versions let you Meter change the color of a numerical value by selecting it Kilometer and then selecting a color from the color palette or Square Millimeter by applying the Color tool Square Centimeter Square Meter Square Kilometer Radian Degree h Grad Copying permitted provided TI copyright notice is included Chapter 12 Using the Display Toolbox 12 5 1997 1999 Texas Instruments Incorporated Numerical Edit Continued 12 6 Modifying a numerical value Move the numerical value by dragging it anywhere in the plane with the Pointer tool You can modify numerical values interactively when the edit box is active Using the arrow keys place the I to the right of the digit you want to change Use the up arrow key to increase the digit by 1 Use the down arrow key to decrease the digit by 1 You can change these values automatically with animation Using the Animation tool select the number as you would select any object The digit increases or decreases relative to the cursor position and to the direction indicated by the Animation tool You can change the units of a numerical value or its displa
108. r creating macros at the beginning of this chapter and redefine your initial and final objects Sr mimm re E im umm ms porn dim i n gn Bela las His mass bart ps be Select an appropriate object Click to apply the macro 9 6 Chapter 9 Using the Macro Toolbox Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated Chapter 10 Using the Check Property Toolbox The Check Property toolbox contains the tools associated with Cabri Geometry II property features These features allow you to check the validity of geometric properties in general Results are reported in text which can be edited with the Comments tool located in the Display toolbox The illustration below shows the location of the Check Property toolbox on the Cabri Geometry II toolbar along with its pull down menu Procedures for using Check Property tools including examples are presented in this chapter in the order in which the tools appear on the pull down menu Check Property toolbox MJ 49 ede E24 418 wv Collinear Tos Parallel Perpendicular NE Equidistant j E Member a 1997 1999 Texas Instruments Incorporated The Collinear tool evaluates tree selected points to determine whether or not they lie on the same line The results are reported in text Checking collinearity 1 Select Collinear from the Check Property toolbox 2 Select any three existing points A m
109. r trace results select Refresh Drawing in the Edit menu Tracing an object 1 Select Trace On Off from the Display toolbox 2 Select the object to trace Select any object qr This circle Selected objects are displayed in marquee outline ri dh E 9 Disable the trace on an object by selecting the object displayed in marquee outline Move the object to show the trace The Trace On Off tool works as a toggle function on an 4 DS object To disable a trace on all objects simultaneously click in free space while pressing SHIFT Modifying a trace Use the Pointer tools see Pointer toolbox to modify the construction As you move the object its outline is displayed Copying permitted provided TI copyright notice is included Chapter 12 Using the Display Toolbox 12 9 O 1997 1999 Texas Instruments Incorporated The Animation tool automatically moves an independent object along a specified path Direction and speed are determined by the animation spring You can increase or decrease the animation speed by pressing or respectively while the animation is active Objects defined by Trace are displayed at a specific interval relative to the length of the path If the tabulation table is selected prior to the animation animation automatically enters tabulation data into the table at a predetermined interval See Tabulate in the chapter Using the Measure Toolbox Animating an object 1 Select Animation fro
110. re Select an object gt length perimeter or circumference select an object fy Length of this segment gt distance select two points gt radius select the center point and then the circumference The result is displayed 3 07 cm Moving measurements Reposition the measurement by selecting it with the Pointer tool and dragging it to a new position The measurement moves with the object it measures unless you pull it away When you pull it away from the object the measurement momentarily resists before pulling away 11 2 Chapter 11 Using the Measure Toolbox Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated The Area tool calculates and displays the area of a selected polygon circle or ellipse The default measurement is displayed in square centimetres You can change its precision by using Numerical Edit in the Display toolbox You can add a comment to the measurement immediately after creating it by typing the text See Comments in the chapter Using the Display Toolbox for more information on adding a comment to a numerical value Checking area l Select Area from the Measure toolbox 2 Selectthe polygon circle or ellipse whose area you Select the object want to measure This polygon The result is displayed Moving measurements Reposition the measurement by selecting it with the Pointer tool and dragging it to a ne
111. rence file If the Cabri Geometry II preference file is placed in the Cabri Geometry II preferences folder or the system preferences folder the settings saved in this file will be activated each time you open Cabri Geometry II The Default Options dialog box is shown below Click the Factory Settings button to return each default to its factory specification befauli Options Daimi baigara lt bride iing Pinta mm Thickseris Lines mm gt Smal tats _ T Pigeons m Large Dax itor mm j Paints Typos L j Circles Comics mm Angle Harts Lacie mm Tai Ton Rus mm gt we os Area mm j E Baur objects ad infinibg Engle Merca NEN C Hare tn ile ug n Farlang 5ellings 1 Cancel EE sete ang Preferences The Preferences command lets you specify particular aspects of the program related to loci the coordinate system measurements and equation formats A dialog box as shown on the next page appears when you select this command The options are described below the illustration The settings specified in Preferences for the Macintosh and Windows versions can be saved to a Cabri Geometry II preferences file This file also contains the defaults specified using the Defaults command This file must reside in the Cabri Geometry II preferences folder or your Macintosh system preferences folder for it to be automatically referenced at run ti
112. rotates geometric objects around geometric centers or specified points plus reflection symmetry and inverse of the objects e Constructs conics easily including ellipses and hyperbolas e Explores advanced concepts in projective and hyperbolic geometry Annotates and measures figures with automatic updating e Uses both Cartesian and polar coordinates e Provides for user display of the equations of geometric objects including lines circles ellipses and coordinates of points e Allows the user to create macros for frequently repeated constructions e Lets the teacher configure tool menus to focus student activities e Checks geometric properties to test hypotheses based on Euclid s five postulates Hides objects used in constructions to reduce screen clutter e Differentiates objects through the use of paint like color and line palettes e Computes a locus continuously Illustrates the dynamic characteristics of figures through animation Allows the user to save drawings and macros to disk Opens geometry constructions created on the TI 92 e Provides one square meter of full size work space and prints the 8 5 by 11 0 inches 21 59 by 27 94 cm drawing area Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated Table of Contents About this Guidebook oocooocoo tenet hr rs vi CHAPTER 1 LEARNING THE BASICS ss sss 1 1
113. rovided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated DOS Type CABRI and press ENTER from the DOS prompt directory where the Cabri Geometry II files are located Optional Add the Cabri directory to your DOS path to open Cabri Geometry II from any directory Chapter 1 Learning the Basics 1 3 First Steps Continued Optimizing your Macintosh system configuration If you are starting Cabri Geometry II on a Macintosh for the first time you may need to make some adjustments to make Cabri Geometry II compatible with your Macintosh computer system configuration Graphics intensive programs require a large amount of memory to operate The amount of memory required directly relates to the size of your monitor and to the number of colors chosen to represent graphical elements Cabri Geometry II may require more memory than other applications due to its interactive nature Cabri Geometry II can assist you in optimizing your system If you see a warning message from the Finder you need to make some adjustments to your system configuration This message indicates the amount of memory needed to run Cabri Geometry II efficiently on your computer with your current configuration Click the OK button to proceed Cabri Geometry II does not start Then close any applications or windows that are currently open This frees the memory that these applications are using To change the amount of memory allocated to Ca
114. s a star polygon A fraction is Pentagon displayed at the center point The numerator determines the number of sides the denominator the number of times the star has crossed The maximum star is 30 13 the minimum is 5 2 Copying permitted provided TI copyright notice is included Chapter 5 Using the Lines Toolbox 5 9 1997 1999 Texas Instruments Incorporated Regular Polygon Continued Modifying a regular polygon Move a regular polygon as an object by dragging one of its sides Change a polygon by dragging any of its vertices Dragging the center point changes the size of the regular polygon since the original vertex is anchored location dependent Example 1 Create the center point 2 Specify the size gt x b as 3 Rotate counter clockwise 4 7 3 star polygon 5 10 Chapter 5 Using the Lines Toolbox Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated Chapter 6 Using the Curves Toolbox The Curves toolbox contains the tools associated with curve features in Cabri Geometry II These features allow you to create curved objects including ellipses parabolas and hyperbolas The illustration below shows the location of the Curves toolbox on the Cabri Geometry II toolbar along with its pull down menu Procedures for using tools in the Curves toolbox including examples are presented in this chapter in the order in which the tools appear on the pull down
115. s or by dragging the drawing window while pressing the COMMAND key Pressing the COMMAND key changes the pointer to the open hand 4 cursor pressing the mouse button and the COMMAND key changes the pointer to the grasping hand v cursor You can perform either method without accessing the Show Drawing Show Page command gt For the DOS versions the visible part of your construction can also be moved by dragging the drawing window with the grasping hand yy cursor Moving the pointer to the drawing window changes the pointer to the open hand 41 cursor pressing the left mouse button changes the pointer to the grasping hand y cursor You can perform either method without accessing the Show Drawing Show Page command gt For the Windows version the visible part of your construction can be moved by also clicking on and then dragging the drawing window Page Setup Macintosh Windows The Page Setup command lets you specify the paper size and orientation landscape or portrait as well as other options that vary according to the printer Note Cabri Geometry II prints figures to scale That is a triangle in your construction will be printed exactly as specified preserving the length of the sides and the measurement of the angles If you change the Reduce or Enlarge option from 10096 the exact size of the figure will not be preserved Copying permitted provided TI copyright notice is included Chapter 2 Using the Menus 2 3 1997 1
116. side of a polygon Two points create or select II Modifying a perpendicular bisector A perpendicular bisector cannot be translated directly unless it is constructed between two basic points Modifying the defining object causes the perpendicular bisector to change accordingly Copying permitted provided TI copyright notice is included Chapter 7 Using the Construct Toolbox 7 5 1997 1999 Texas Instruments Incorporated The Angle Bisector tool creates a line that bisects an angle identified by three points The second point defines the vertex of the angle through which the line passes Creating an angle bisector l Select Angle Bisector from the Construct toolbox 2 Clickto create or select three points that define the Select points A B and C angle to be bisected The second point selected is A the vertex of the angle E C Select points B C and A A Modifying an angle bisector An angle bisector cannot be translated directly unless it is defined by three independent points Modifying the points that define the angle causes the angle bisector to change accordingly 7 6 Chapter 7 Using the Construct Toolbox Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated The Vector Sum tool creates a resultant vector that is the sum of two selected vectors The selected vectors do not have to share a common endpoint tail and may also be previously defined
117. space a cursor a message does not appear s Note You do not have to select the Point on Object or Intersection Point s tools to create a point on an object Create points on objects or at an intersection Create points at intersections Point at this intersection Modifying a point Move a point by dragging it to a new location Point types toolbar You can change the appearance of points using an gt the Defaults option under the Options menu Macintosh only gt the Attributes toolbar under the Options menu the Modify Appearance option in the Draw toolbox You can construct a point as a e x oro Refer to the chapters Using the Menus and Using the Draw Toolbox for these features 4 2 Chapter 4 Using the Points Toolbox Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated The Point on Object tool creates points on any object Creating a point on an object 1 Select Point on Object from the Points toolbox 2 Move the cursor toward the object until a cursor Point message appears for that object and then click once NT Solgar Click Modifying a point on an object Move a point by dragging it to a new location The point always remains on the object Copying permitted provided TI copyright notice is included Chapter 4 Using the Points Toolbox 4 3 1997 1999 Texas Instruments Incorporated The Intersection Poin
118. t on a ray on a vector from the initial point of a polygon or from another point at a distance proportional to a selected measurement or numerical value From a point on a circle the point created is at an equivalent arc length The direction of the distance or arc length depends on the sign of the selected numerical value The magnitude of the measurement transferred is represented without regard to units Creating a measurement transfer 1 Select Measurement Transfer from the Construct toolbox 2 Pointto any measurement or numerical value and click to select 3 Toconstruct A HO Era 2424 ae Select a numerical value 3 10 em This number R_ Select a ray gt apoint at a proportional linear distance select a ray vector polygon or point If you select a point a dotted line appears Position the dotted line as you want it and click to set the position 3s This ray The point created is an equivalent distance from the endpoint of the ray 3 10 cm gt apoint at a proportional arc length away select a circle and then select do not create a point on the circle Select a numerical value 4 3h This number Copying permitted provided TI copyright notice is included gi Select a circle This circle The point created is an equivalent arc length from the existing point Select an existing point on the circle udi 4
119. t point selected is checked relative to the two remaining points A marquee box appears after the last selection 3 Move the pointer to move this box anywhere in the drawing window and click to display the result The text states whether or not the first point selected is equidistant from the second and third points If you change the objects so that the property changes the displayed text changes accordingly fa Click to place marquee box A LJ B Cc Points are not equidistant The result changes with the construction A Points are equidistant Copying permitted provided TI copyright notice is included Chapter 10 Using the Check Property Toolbox 10 5 1997 1999 Texas Instruments Incorporated E The Member tool evaluates a point to determine whether or not it lies on an object The results are reported in text Checking membership 1 Select Member from the Check Property toolbox 2 Selecta point Select a point and an object 9 Select any object ei A marquee box appears after the selection 4 Move the pointer to move this box anywhere in the Click to place the marquee box drawing window and click to display the result If you change the objects so that the property changes the displayed text changes accordingly y This point does not lie on the object The result changes with the construction This point lies on the object 10 6 Chapter 10 Using the Check Property Toolbox Copying
120. t s tool creates a point at the intersection or intersections of any two objects An intersection can be defined for only two objects If more than two objects intersect at the same place for example the perpendicular bisectors of a triangle an ambiguity message appears If this happens hold down the mouse button and select the correct object from the list If you change the objects so that they no longer intersect the intersection point s disappears but reappears if the objects intersect again Creating an intersection point 1 Select Intersection Point s from the Points toolbox 2 Select two intersecting objects Points are created Select the first object Select the second object at each intersection E Modifying an intersection point Intersection points are dependent and cannot be moved Example Intersection of a line and a polygon Select polygon and line Points are created at each intersection Thig line kc eos E 4 4 Chapter 4 Using the Points Toolbox Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated Chapter 5 Using the Lines Toolbox The Lines toolbox contains the tools associated with line features in Cabri Geometry II These features allow you to construct linear objects and polygons The illustration below shows the location of the Lines toolbox on the Cabri Geometry II toolbar along with its pull down menu Procedures f
121. tails on editing a numerical value Resize the edit box by dragging its lower right hand corner Note The Windows and DOS versions let you change the color of a comment by selecting the comment and then selecting a color from the color palette or by applying the Color tool 12 4 Chapter 12 Using the Display Toolbox Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated The Numerical Edit tool creates an edit box for editing numerical values including interactive numbers or measurements Interactive numbers can be modified interactively and used to define rotations dilations or measurement transfer values The edit box contains pull down menus that allow you to specify the attributes of the text Attribute defaults for font size and style of the text can be set using the Font Size and Style commands in the Options menu Macintosh only Creating and editing numerical values 1 Select Numerical Edit from the Display toolbox X ud dx dey E32 2 Clickto place an edit box anywhere in the drawing Click to place the edit box for creating an interactive number 9 Ifthe attributes are already as you desire continue to step 4 If not select the font size style and color of the text that you want Press and hold the mouse button while pointing to the small icon boxes at the top of the edit box Enter a numerical value The C S F and color block Bl change the characte
122. ted 0 5 ME Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated The Inverse tool constructs an inverse point with respect to a circle and a point according to the equation OM O M r where M and M are points that lie on a ray with endpoint O O B center of circle M selected point M E inverse point radius of selected circle As the selected point approaches the center point the inverse point approaches a point at infinity If M is defined to be on a line passing through the circle the locus of M constructs a circle that passes through the center of the circle If the original point lies in the interior of the circle the inverse point is constructed in the exterior and vice versa The inverse point lies on a ray with the center point as the endpoint Creating an inverse point l Select Inverse from the Transform toolbox 2 Create or select a point as the original point 1 1 This point LI Pi 1 3 Select a circle Select a circle This circle An inverse point is created Modifying an inverse point Move an inverse point by dragging the point or modifying the circle that defines it You cannot manipulate an inverse point directly because it is a dependent point Copying permitted provided TI copyright notice is included Chapter 8 Using the Transform Toolbox 8 7 O 1997 1999 Texas Instruments Incorporated Chapter 9 Using the Macro
123. ted object is created TIE Modifying a reflection Change the reflected image by changing the original object or by modifying the line of reflection Because it is a dependent object you cannot change the reflected image directly 8 2 Chapter 8 Using the Transform Toolbox Copying permitted provided TI copyright notice is included 1997 1999 Texas Instruments Incorporated The Symmetry tool reflects the image of an object 180 degree with respect to a point Creating a symmetrical image 1 Select Symmetry from the Transform toolbox 2 Selectthe object to reflect 180 degrees Select the object to reflect Reflect this pdlygon Select a point 3 Select the point of symmetry with respect to this object The symmetric image is created Modifying a symmetrical image Change a symmetrical image by changing the original object or by moving the point of symmetry Because it is a dependent object you cannot change a symmetrical image directly Copying permitted provided TI copyright notice is included Chapter 8 Using the Transform Toolbox 8 3 O 1997 1999 Texas Instruments Incorporated m a The Translation tool creates the image of an object translated by a specified previously defined vector Translating an object 1 Select Translation from the Transform toolbox 2 Select the object to translate Select the object to translate Translate this polygon 3 Select the vector that defines the translation Sele
124. the process of optimizing your configuration Double click on the Cabri Geometry II icon for the changes to be applied to Cabri Geometry II If you select the Manual button Cabri Geometry II continues to the optimization dialog box see example on the next page that allows you to optimize your configuration as you want Read the items in the Current Settings field first and then manipulate the other fields as described below the example You can also access the following dialog box by pressing the OPTION key when starting the software 1 4 Chapter 1 Learning the Basics Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated Ge Semi Manual optimization of your configuration Current settings i Your monitor is currently set with 256 colors 2016 K of memory are currently allocated to Cabri 0 Cabri needs at least 5050 K of memory to run on this screen 1500 K in Black amp White Cabri cannot run with these settings Screen Colors Memory Setting Cancel 1500 K BAJA lt 2477 K m Cabri cannot run with these settings Values are subject to some naccuracy and given for information purpose only Status The status indicates whether or not Cabri Geometry II can run with the current settings Screen Colors The number of colors used to display objects is directly related to the amount of memory required to execute Cabri Geometry II You can click on t
125. toolbar icon and information about the Cabri Geometry II software Help Keyboard shortcut F1 DOS The Help command displays a description of the selected toolbar icon in the Help window at the bottom of the Cabri Geometry II screen For the Macintosh version click on to open the Help window About Cabri Il The About Cabri Il command displays information about Cabri Geometry II that includes authors names copyright notice and the version number of the software 2 12 Chapter 2 Using the Menus Copying permitted provided TI copyright notice is included 1997 1999 Texas Instruments Incorporated Chapter 3 Using the Pointer Toolbox The Pointer toolbox contains the tools associated with Cabri Geometry II pointer features These features allow you to select objects and to perform freehand transformations The illustration below shows the location of the Pointer toolbox on the Cabri Geometry II toolbar along with its pull down menu Procedures for using Pointer tools including examples are presented in this chapter in the order in which the tools appear on the pull down menu Pointer toolbox AAO daa 224 Ales v Pointer Rotate Dilate EX Rotate and Dilate ch Copying permitted provided TI copyright notice is included Chapter 3 Using the Pointer Toolbox 3 1 O 1997 1999 Texas Instruments Incorporated The Pointer tool selects or moves objects in a freehand manner Press and hold the mouse button
126. try II Using Cabri Geometry Il on a network The Cabri Geometry II window Accessing on line help About menus and toolboxes Copying permitted provided TI copyright notice is included 1997 1999 Texas Instruments Incorporated CONSTRUCTING OBJECTS Pointers that guide you Creating and selecting points Handling ambiguities Determining dependent and independent objects Dragging Using the Undo Redo command Deleting objects Changing the appearance of objects Labeling objects Scrolling the drawing window Saving and printing Chapter 1 Learning the Basics 1 1 Checking system requirements Macintosh Macintosh Classic or better System 6 0 or later e 1 Mb available RAM for a Macintosh Classic Memory requirements will be greater for color or larger monitors than on the Classic Hard disk with 1 2 Mb available for program and demonstration files Windows 3 1 386 PC or better required 486DX recommended PC must be in 386 Enhanced mode with Virtual Memory enabled e VGA SVGA video adapter and a color monitor 6Mb RAM minimum memory installed e 7 Mb available hard disk space for program demonstration files and system extensions Mouse or an equivalent pointing device Installing Cabri Geometry Il Macintosh 1 Create a folder named Cabri Il on your hard disk 2 Insert the Cabri Geometry II Macintosh diskette in your floppy disk drive 3 Double click on the Installer
127. u cannot edit a construction if you stop the replay before you reach the end of the construction When you click the mouse at any point during the replay the entire construction is displayed Refresh Drawing Keyboard Shortcut COMMAND F Macintosh or CTRL F Windows DOS The Refresh Drawing command redraws every object of a construction In the process of redrawing undefined elements are removed Pixels turned on by Trace are removed in this manner Macintosh Windows An alternative method for redrawing the construction is to click on the zoom box in the top right corner of the drawing window This action also causes the window to expand to its logical maximum size Clicking the box again causes the window to shrink back to its previous size 2 6 Chapter 2 Using the Menus Copying permitted provided TI copyright notice is included 1997 1999 Texas Instruments Incorporated The Options menu contains commands that relate to showing attributes of each construction tool setting defaults and defining the contents and configuration of the toolbar Hide Show Attributes The Hide Show Attributes command hides and shows the attributes toolbar You can toggle the command from one to the other Defaults Macintosh only The Defaults command for the Macintosh version provides options that allow you to select default colors and attribute settings for various classes of objects The defaults can be saved to the Cabri Geometry II prefe
128. umber to insert the desired character Copying permitted provided TI copyright notice is included Chapter 12 Using the Display Toolbox 12 3 O 1997 1999 Texas Instruments Incorporated Comments Continued 5 Point to a numerical value and click to insert it at the location of the J in the edit box Dres Exploration The area of a circle is nr The area of circle c t Include this number Area 3 1416 cm Adding a comment to a numerical value 1 Select the Comments tool then the numerical value Ga Esploration The area of a circle is mr The area of circle c z 1416cm 2 Type the text Press ENTER if you need additional lines Text is confined within the box and does not wrap to the next line The comment is used as the column title if this value is tabulated in the table Edit this text 3 1418 cm Modifying a comment Move a comment by dragging it anywhere in the plane with the Pointer tool Edit a comment by selecting it with the Comments tool An edit box appears You must shade text that you want to modify before making changes to its font size style or color Shade the text by dragging the I across it Then select the appropriate option Click directly on a numerical value within a comment to change its characteristics The options in the edit box change to the options available in Numerical Edit You can then modify the numerical value See Numerical Edit in this chapter for specific de
129. using the Pointer tool You can move the label within a fixed region from the object it labels The label maintains its relative position to the object throughout any changes to the object Edit a label by selecting it with the Label tool An edit box appears for editing the text You must shade the text that you want to modify before making changes to its font size style or color Shade the text by dragging the I beam cursor Y across it Then select the appropriate option Note The DOS version lets you change the color of a label by selecting the label and then selecting a color from the color palette or by applying the Color tool 12 2 Chapter 12 Using the Display Toolbox Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated The Comments tool allows you to create an edit box to enter a text comment Dragging a marquee rectangle in the drawing window makes the edit box appear for you to enter your text The edit box contains pull down menus that allow you to specify the attributes of your comment text The comment becomes a text object that you can move anywhere in the plane You can also add measurements and numerical values to comments These values become a part of the comment yet maintain their numerical characteristics To set attribute defaults for font size and style of the text use the Font Size and Style commands in the Options menu in the Macintosh version or th
130. vector sums Creating a vector sum 1 Select Vector Sum from the Construct toolbox al JAG ld 2424 onn 2 Point and click to select any two vectors Select the first vector 3h This vector Select the second vector This vector 3 Click to create or select the initial point for the Select a tail point for the vector sum resultant vector Modifying a vector sum A vector sum cannot be modified directly Modifying either one of the selected vectors causes the vector sum to change accordingly Copying permitted provided TI copyright notice is included Chapter 7 Using the Construct Toolbox 7 7 1997 1999 Texas Instruments Incorporated The Compass tool creates a circle with a radius equal to the length of an existing segment or the distance between two points Creating a circle using Compass 1 Select Compass from the Construct toolbox 2 Create or select two points or select a segment to Select a segment define the radius of the circle 5 3h This segment 3 Create or select the center point of the circle Select a center point Modifying a circle created using Compass Modify the radius by dragging one of the defining endpoints Translate the compass circle by dragging the center point 7 8 Chapter 7 Using the Construct Toolbox Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated The Measurement Transfer tool creates a poin
131. w position The measurement moves with the object it measures unless you pull it away When you pull it away from the object the measurement momentarily resists before pulling away Copying permitted provided TI copyright notice is included Chapter 11 Using the Measure Toolbox 11 3 1997 1999 Texas Instruments Incorporated The Slope tool calculates and displays the slope of a selected segment ray vector or line You can change the precision of the slope by using Numerical Edit in the Display toolbox You can add a comment to the measurement immediately after creating it by typing the text See Comments in the chapter Using the Display Toolbox for more information on adding a comment to a numerical value Checking slope 1 Select Slope from the Measure toolbox 2 Selectthe segment ray vector or line whose slope Select the object you want to measure This line The result is displayed 4 000 Moving measurements Reposition the measurement by selecting it with the Pointer tool and dragging it to a new position The measurement moves with the object it measures unless you pull it away When you pull it away from the object the measurement momentarily resists before pulling away 11 4 Chapter 11 Using the Measure Toolbox Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated The Angle tool calculates and displays the measurement of an angle defi
132. x Then using the Pointer gt For aray constructed with a single point drag the point gt For aray constructed with two basic points grab the ray away from the points and drag Change the direction and slope of a ray using the Pointer tool To change a ray constructed with a single point grab the ray away from the point and drag Press the SHIFT key to constrain the slope to 15 degree increments gt To change a ray constructed with two basic points drag either of the points Changing a ray constructed with a dependent point is relative to the object to which it is attached You may drag the object or the point depending on the construction Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated Create a point aC Click to specify the slope Chapter 5 Using the Lines Toolbox 5 5 The Vector tool creates a vector defined by magnitude and direction with a tail initial endpoint and head final endpoint Creating a vector 1 Select Vector from the Lines toolbox 2 Clickto create or select the tail of the vector Create the tail E E 3 Move the pointer to the location for the head and Create the head click to create or select the head of the vector tt Modifying a vector Change a vector by dragging either endpoint Translate a vector constructed with two basic points by grabbing the segment away from the endpoints and dragging
133. y using the Undo Redo command in the Edit menu Example 6a Deleting objects Method 1 1 Construct a circle and an inscribed triangle see Example 5 2 Select Pointer from the Pointer toolbox 3 Point to the center point of the circle and click The center point flashes Press the DELETE key s p The point the circle and the triangle disappear Copying permitted provided TI copyright notice is included Chapter 1 Learning the Basics 1 17 1997 1999 Texas Instruments Incorporated Constructing Objects Continued 1 18 Example 6b Deleting objects Method 2 1 Repeat steps 1 and 2 in Method 1 or select Undo Redo in RU uad the Edit menu i 2 Point to the circle and click The circle appears in marquee outline Press the DELETE key The circle and the triangle disappear but the center point remains Example 6c Deleting objects Method 3 1 Repeat steps 1 and 2 in Method 1 or select Undo Redo a 2 Point to the triangle and click fy nis tigngle Press the DELETE key The triangle disappears but the circle its center point and the vertices of the triangle remain Example 6d Deleting objects Method 4 1 Repeat steps 1 and 2 in Method 1 or select Undo Redo 2 Point to a vertex of the triangle and click Press the DELETE key What happened How does this differ from Method 3 This point Chapter 1 Learning the Basics Copying permitted provided TI copyright notice is included
134. yed precision Using the Numerical Edit tool select the numerical value Select the U Macintosh in the edit box or press CTRL U Windows and DOS and assign a unit to any number or change to the desired units Cabri Geometry II performs unit conversions based on the number s current unit assignment Press the key to increase the precision displayed by 1 digit Press the key to decrease the precision displayed by 1 digit Change the character attributes of a numerical value by selecting it using the Numerical Edit tool An edit box appears for editing the number You must shade the text that you want to modify before making changes to its font size style or color Shade the text by dragging the I across it Then select the appropriate option from the icons in the edit box Chapter 12 Using the Display Toolbox Copying permitted provided TI copyright notice is included O 1997 1999 Texas Instruments Incorporated The Mark Angle tool labels an angle specified by three points with an angle mark Creating a marked angle 1 Select Mark Angle from the Display toolbox 2 Specify the angle by selecting three points The second point must be the vertex Select three points Note To measure an angle just select the marked angle with the Angle tool in the Measure toolbox Drag the mark through the vertex to measure the reflex angle Modifying an angle mark Using the Pointer tool modify an angle mark by dragging it

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