Table of Contents
Introduction 1
Part 1: Getting Started with Geometry Basics 5
Chapter 1: Introducing Geometry 7
Chapter 2: Building Your Geometric Foundation 17
Chapter 3: Sizing Up Segments and Analyzing Angles 31
Part 2: Introducing Proofs 43
Chapter 4: Prelude to Proofs 45
Chapter 5: Your Starter Kit of Easy Theorems and Short Proofs 55
Chapter 6: The Ultimate Guide to Tackling a Longer Proof 75
Part 3: Triangles: Polygons of the Three-Sided Variety 87
Chapter 7: Grasping Triangle Fundamentals 89
Chapter 8: Regarding Right Triangles 107
Chapter 9: Completing Congruent Triangle Proofs 125
Part 4: Polygons of the Four-or-More-Sided Variety 153
Chapter 10: The Seven Wonders of the Quadrilateral World 155
Chapter 11: Proving That You Have a Particular Quadrilateral 177
Chapter 12: Polygon Formulas: Area, Angles, and Diagonals 193
Chapter 13: Similarity: Same Shape, Different Size 211
Part 5: Working with Not-So-Vicious Circles 235
Chapter 14: Coming Around to Circle Basics 237
Chapter 15: Circle Formulas and Theorems 255
Part 6: Going Deep with 3-D Geometry 277
Chapter 16: 3-D Space: Proofs in a Higher Plane of Existence 279
Chapter 17: Getting a Grip on Solid Geometry 287
Part 7: Placement, Points, and Pictures: Alternative Geometry Topics 303
Chapter 18: Coordinate Geometry 305
Chapter 19: Changing the Scene with Geometric Transformations 323
Chapter 20: Locating Loci and Constructing Constructions 343
Part 8: The Part of Tens 361
Chapter 21: Ten Things to Use as Reasons in Geometry Proofs 363
Chapter 22: Ten Cool Geometry Problems 369
Index 377