Mark Ryan is the founder and owner of The Math Center in the Chicago area, where he provides tutoring in all math subjects as well as test preparation. Mark is the author of Calculus For Dummies, Calculus Workbook For Dummies, and Geometry Workbook 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

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Mark Ryan is the founder and owner of The Math Center in the Chicago area, where he provides tutoring in all math subjects as well as test preparation. Mark is the author of Calculus For Dummies, Calculus Workbook For Dummies, and Geometry Workbook 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

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Mark Ryan is the founder and owner of The Math Center in the Chicago area, where he provides tutoring in all math subjects as well as test preparation. Mark is the author of Calculus For Dummies, Calculus Workbook For Dummies, and Geometry Workbook 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

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