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• Cover
• Introduction
• About This Book
• Conventions Used in This Book
• Foolish Assumptions
• Icons Used in This Book
• Where to Go from Here
• Chapter 1: An Overview of Geometry
• The Geometry of Shapes
• Geometry Proofs
• Am I Ever Going to Use This?
• Getting Down with Definitions
• A Few Points on Points
• Lines, Segments, and Rays
• Investigating the Plane Facts
• Everybody’s Got an Angle
• Bisection and Trisection
• Chapter 2: Geometry Proof Starter Kit
• The Lay of the (Proof) Land
• Reasoning with If-Then Logic
• Complementary and Supplementary Angles
• Addition and Subtraction
• Like Multiples and Like Divisions
• Congruent Vertical Angles
• Transitivity and Substitution
• Chapter 3: Tackling a Longer Proof
• Making a Game Plan
• Using All the Givens
• Using If-Then Logic
• Chipping Away at the Problem
• Working Backward
• Filling in the Gaps
• Writing out the Finished Proof
• Chapter 4: Triangle Fundamentals
• Taking in a Triangle’s Sides
• Triangle Classification by Angles
• The Triangle Inequality Principle
• Sizing up Triangle Area
• Regarding Right Triangles
• The Pythagorean Theorem
• Pythagorean Triple Triangles
• Two Special Right Triangles
• Chapter 5: Congruent Triangle Proofs
• Proving Triangles Congruent
• Taking the Next Step with CPCTC
• The Isosceles Triangle Theorems
• The Two Equidistance Theorems
• Chapter 6: Quadrilaterals
• Parallel Line Properties
• The Seven Special Quadrilaterals
• Working with Auxiliary Lines
• The Properties of Quadrilaterals
• Proving That You’ve Got a Particular Quadrilateral
• Chapter 7: Polygon Formulas
• The Area of Quadrilaterals
• The Area of Regular Polygons
• Angle and Diagonal Formulas
• Chapter 8: Similarity
• Similar Figures
• Proving Triangles Similar
• Splitting Right Triangles with the Altitude-on-Hypotenuse Theorem
• More Proportionality Theorems
• Chapter 9: Circle Basics
• Radii, Chords, and Diameters
• Arcs and Central Angles
• Tangents
• The Pizza Slice Formulas
• The Angle-Arc Formulas
• The Power Theorems
• Chapter 10: 3-D Geometry
• Flat-Top Figures
• Pointy-Top Figures
• Spheres
• Chapter 11: Coordinate Geometry
• The Coordinate Plane
• Slope, Distance, and Midpoint
• Equations for Lines and Circles
• Chapter 12: Ten Big Reasons to Use in Proofs
• The Reflexive Property
• Vertical Angles Are Congruent
• The Parallel-Line Theorems
• Two Points Determine a Line
• All Radii Are Congruent
• If Sides, Then Angles
• If Angles, Then Sides
• Triangle Congruence
• CPCTC
• Triangle Similarity
• Index
• About the Author
• Connect with Dummies
• End User License Agreement