Texas Instruments TINSPIRECX manual View for Plane Geometry, Two Parallel Lines

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First Steps with TI-Nspire™

Tutorial 1: TI-Nspire documents

Tutorial 5

Geometry

This tutorial introduces interactive geometry in TI-Nspire and builds upon the methods and features of the Graphs and Geometry applications that were covered in Tutorial 4. You are led step by step through a geometrical construction which illustrates the simple concept that the areas of triangles with a fixed base and constant height are equal. As you work through the construction you will meet many of the features that make this one of the most powerful and attractive components of TI-Nspire.

A View for Plane Geometry

If necessary open your FirstSteps5 document and use the c key then select to create a new Geometry page.

Much like with a Graphing page it is possible to convert the Plane Geometry page in to a Graphing page by selecting b21. However for now leave the page in Plane Geometry View.

Two Parallel Lines

We will start by drawing a line segment to represent the base of a triangle and labelling it BC: press b7 to see the options available for drawing Points & Lines. Segments have two distinct end points, lines are (in theory) infinite, while rays have just one end. So choose option 5: Segment.

Move the cursor to a suitable position for point B. Then click (x) to fix the point and then gB to give it a label of B.

Move the cursor to where you want the other end of the segment to be. Mark the point and label it C in the same way. The icon in the top left corner is still showing you that you could draw another segment if you wish. Press d to remove the icon and leave that mode of operation.

Notice that as usual the relevant icon

appears in the top left corner of the screen.

Drawing the base of the triangle

© 2012 Texas Instruments Education Technology

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Contents First Steps About this document Contents Appendix TI-Nspire CX Keypad Layout Memory TI-Nspire DocumentsNothing on the screen? Charging the handheld Battery LifeHome Screen First Steps with TI-Nspire Tutorial 1 TI-Nspire documents Scratchpad Documents, Problems and PagesNavigating Documents First Steps with TI-Nspire Tutorial 1 TI-Nspire documents Contextual Menus Check list of some key points in Tutorial Basic operations Calculator ApplicationApproximate Calculations History LessonMenu of maths templates TemplatesGetting Set Document settings dialog boxEffect of changed settings Use of function notation Some AlgebraWays to define variables Lists of random integers Calculator MenuStatistical Distribution Tables List of defined variables Variables Linked to DocumentsVarious text formatting Instructions Recording results Why use Notes?Making Notes Ways to split the screen You must press /e and then b Splitting the ScreenFormat sub-menu Use of Q+A template An inserted comment Use of proof template and symbolsMore Options from the Notes Menu Interactive NotesAsking Questions Check list of some key points in Tutorial Graphing View GraphingGraphs & Geometry Two Views Graphing FunctionsGrabbed tick mark on the axes Grab and Drag PracticeChanging the Axes Open-hand cursorChanging f2 in the function history Zoom settings Grabbed-sheet iconEditing, Deleting or Hiding a Function Points of intersection Tracing GraphsPoints and coordinates Trace picks out significant pointsCoordinates and labelled points Analyse Graph MenuAlternative icons Transformed graph and equation Using SlidersManually Moving Graphs Sequence Plotting Check list of some key points in Tutorial Drawing the base of the triangle GeometryView for Plane Geometry Two Parallel LinesMany options in the Construction menu What’s grabbable?Construct the Triangle Storing the measurement as a variable Making MeasurementsVariables and Text Measurement menuChanging the attributes of the triangle Tidying Up and Using AttributesDynamic Changes Ready to grab a and slide itUnlocked/Unpinned Points B and C. Try Moving point B Area is now lockedCheck list of some key points in Tutorial Entering Data as Lists Lists & SpreadsheetOne way to enter a formula Typical Spreadsheet Actions Using FormulaeConflict resolution Hand-made function table Capturing DataFunction Tables Graph and table side by side Simple function table Options for function tablesFrequency Charts Shoe Sizes and Hand Spans Charts with One VariableOne and Two Variable Statistics Upper quartile displayed Charts for Categorical DataPie Chart displaying categorical data Comparing BoxplotsReady to add a 2nd variable Charts with Two VariablesFitting a Line by Hand and Eye Calculated regression line Statistics Calculations menu Drawing the Regression LineGetting the Stats Effect of moving a point from here … … to here Dragging on the ChartsWorking with Frequency Data Sets of statisticsTexas Instruments Education Technology Check list of some key points in Tutorial Measured circle Multiple RepresentationsDraw and Measure a Circle Collecting Just a Little Data Setting up a scatter plot Data capture is under waySpreadsheet for Data Capture Two ScatterplotsMoving a straight line by hand Not a linear relationship Go to Town with Data CollectionFit a Straight Line Linear relationshipBasic quadratic ready for fitting… … and dragged into place Different Approach to ScatterplotsRegression