Geometry Explorer:User GuideMichael HvidstenGustavus Adolphus CollegeDRAFT: August 3, 2015iiContentsIntroduction ix1 Getting Started 11.1 The Main Geometry Explorer Window . . . ...

The word document has the instructions and questions


Geometry Explorer: User Guide Michael Hvidsten Gustavus Adolphus College DRAFT: August 3, 2015 ii Contents Introduction ix 1 Getting Started 1 1.1 The Main Geometry Explorer Window . . . . . . . . . . . . . 1 1.2 Selecting Objects . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.2.1 Selections Using the Mouse . . . . . . . . . . . . . . . 4 1.2.2 Selections Using the Select All Menu . . . . . . . . . . 7 1.3 Active vs Inactive Tools . . . . . . . . . . . . . . . . . . . . . 7 1.4 Labels . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 1.5 Object Coloring . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1.6 Changing Palette Colors . . . . . . . . . . . . . . . . . . . . . 9 1.7 On-Line Help . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 1.8 Undo/Redo of Actions . . . . . . . . . . . . . . . . . . . . . . 10 1.9 Clearing, Resizing the Canvas . . . . . . . . . . . . . . . . . . 12 1.10 Saving, Opening, Printing of Files . . . . . . . . . . . . . . . 13 1.11 Saving Files as Images . . . . . . . . . . . . . . . . . . . . . . 14 2 Tutorials 17 2.1 Tutorial 1 Working With Basic Geometric Figures . . . . . . 17 2.2 Tutorial 2 Constructions . . . . . . . . . . . . . . . . . . . . . 20 2.2.1 Euclid’s Equilateral Triangle . . . . . . . . . . . . . . 21 2.3 Tutorial 3 Transforming Geometric Figures . . . . . . . . . . 24 2.3.1 Rotation of a Figure – Using a Geometric Angle . . . 24 2.3.2 Dilation of a Figure – Using a Numerical Angle . . . . 26 2.4 Tutorial 4 Measurement . . . . . . . . . . . . . . . . . . . . . 27 2.4.1 Triangle Area . . . . . . . . . . . . . . . . . . . . . . . 28 2.4.2 Triangle Angle Sum . . . . . . . . . . . . . . . . . . . 29 2.5 Tutorial 5 Analytic Geometry . . . . . . . . . . . . . . . . . . 32 2.6 Tutorial 6 Hyperbolic Geometry . . . . . . . . . . . . . . . . 35 iii iv CONTENTS 2.7 Tutorial 7 Elliptic Geometry . . . . . . . . . . . . . . . . . . . 41 2.8 Tutorial 8 Recording Geometric Macros . . . . . . . . . . . . 45 2.8.1 Recorder Windows . . . . . . . . . . . . . . . . . . . . 45 2.8.2 Custom Tools . . . . . . . . . . . . . . . . . . . . . . . 48 2.9 Tutorial 9 Turtle Geometry . . . . . . . . . . . . . . . . . . . 51 3 Constructions 57 3.1 Tools in the Construct Panel . . . . . . . . . . . . . . . . . . 58 3.2 Using the Locus Tool . . . . . . . . . . . . . . . . . . . . . . . 62 3.2.1 A Simple Example Using the Locus Tool . . . . . . . . 62 3.2.2 The Ellipse as a Locus of a Point . . . . . . . . . . . . 63 3.3 Tangent to a Circle . . . . . . . . . . . . . . . . . . . . . . . . 67 4 Measurements 69 4.1 Neutral Measurements . . . . . . . . . . . . . . . . . . . . . . 70 4.1.1 Point Measurements . . . . . . . . . . . . . . . . . . . 71 4.1.2 Segment Measurements . . . . . . . . . . . . . . . . . 71 4.1.3 Circle Measurements . . . . . . . . . . . . . . . . . . . 72 4.1.4 Arc Measurements . . . . . . . . . . . . . . . . . . . . 72 4.1.5 Filled Object Measurements . . . . . . . . . . . . . . . 72 4.2 Euclidean-only Measurements . . . . . . . . . . . . . . . . . . 72 4.2.1 Point Measurements . . . . . . . . . . . . . . . . . . . 72 4.2.2 Linear Object Measurements . . . . . . . . . . . . . . 73 4.3 Hyperbolic-only Measurements . . . . . . . . . . . . . . . . . 73 4.4 Elliptic-only Measurements . . . . . . . . . . . . . . . . . . . 74 4.5 Precision in Measurements . . . . . . . . . . . . . . . . . . . . 75 4.6 Compound Measurements . . . . . . . . . . . . . . . . . . . . 75 4.7 Using the Calculator . . . . . . . . . . . . . . . . . . . . . . . 76 4.7.1 Circle Area . . . . . . . . . . . . . . . . . . . . . . . . 77 4.7.2 The Button Pad . . . . . . . . . . . . . . . . . . . . . 79 4.7.3 Evaluation of Expressions . . . . . . . . . . . . . . . . 84 4.8 Sliders . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 4.9 User Input Parameters . . . . . . . . . . . . . . . . . . . . . . 87 4.10 Using Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . 91 4.10.1 Quad Interior Angles . . . . . . . . . . . . . . . . . . . 91 5 Transformations 95 5.1 Quick Overview of Transformations . . . . . . . . . . . . . . . 96 5.2 Defining