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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 | |