Geometry For Dummies

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