Geometry For Dummies

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