Geometry For Dummies 3e by Ryan, Mark

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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