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

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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
Answered 1 days AfterJan 26, 2023

Answer To: Geometry Explorer:User GuideMichael HvidstenGustavus Adolphus CollegeDRAFT: August 3,...

Baljit answered on Jan 27 2023
36 Votes
Project 7
Quilts and transformations
Definitions:-
Before we proceed with the our project. Lets f
irst introduce the terms quits what does it mean.
In mathematics quilts is basically a geometrical block that consist of smaller block and each smaller block is consists of two triangles.
In this projects we will get to know how to make quilt and how to perform various geometrical transformation like reflection ,rotations and translation.
In reflection we can make mirror image of shape by reflecting it across a segment.In rotation shape is rotated around a point and in translation shape is translated around a side.
Steps to Make Quilt:-
1. Create a segment AB.Then set A as center of rotation and Rotate point B by 90o.Now name new point as C.Then set C as center of rotation and Rotate point A by 90o and Name new point as...
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