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| Preface | |
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| List of Numbered Figures | |
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| List of Classroom Connections | |
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| List of Classroom Discussions | |
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| Euclid's Geometry | |
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| Euclid's Postulates and Common Notions | |
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| Using Logic | |
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| Notation and Measurement | |
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| Polygons and Solids | |
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| Measuring the Earth's Radius | |
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| Chapter 1 Review | |
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| Chapter 1 Review Exercises | |
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| Related Reading for Chapter 1 | |
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| Congruent Figures, Areas, and Volumes | |
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| Congruent Triangles | |
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| Parallel Lines | |
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| Quadrilaterals | |
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| Areas of Figures | |
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| Circles | |
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| Volumes and Surface Areas | |
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| Chapter 2 Review | |
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| Chapter 2 Review Exercises | |
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| Related Reading for Chapter 2 | |
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| Similarity | |
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| Similar Polygons | |
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| Applications of Similar Triangles | |
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| Pythagorean Theorem | |
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| Area and Perimeter of Similar Figures | |
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| Similarity for More General Figures | |
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| Chapter 3 Review | |
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| Chapter 3 Review Exercises | |
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| Related Reading for Chapter 3 | |
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| Rigid Motions and Symmetry | |
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| Reflections Over Lines and Orientation | |
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| Translations, Rotations, and Glide-Reflections | |
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| Symmetries | |
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| Isometries in Space | |
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| Chapter 4 Review | |
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| Chapter 4 Review Exercises | |
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| Related Reading for Chapter 4 | |
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| Vectors and Transformations | |
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| Vectors as Oriented Line Segments | |
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| Representing Vectors with Coordinates | |
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| Matrices | |
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| Transformations Using Matrices | |
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| Isometries and Orthogonal Matrices | |
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| Isometries and Complex Numbers | |
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| Chapter 5 Review | |
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| Chapter 5 Review Exercises | |
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| Related Reading for Chapter 5 | |
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| Three Other Geometries | |
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| Taxicab Geometry | |
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| Spherical Geometry | |
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| Hyperbolic Geometry | |
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| Chapter 6 Review | |
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| Chapter 6 Review Exercises | |
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| Related Reading for Chapter 6 | |
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| Geometer's Sketchpad | |
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| Euclid's Assumptions | |
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| Selected Geometry Formulas | |
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| Glossary | |
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| Answers and Hints for Odd Exercises | |
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| Photo Credits | |
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| Index | |