### Chapter 0

Geometric Art

0.1 | Geometry in Nature and in Art | Exercises | p.4 |

Improving Your Visual Thinking Skills | p.6 | ||

0.2 | Line Designs | Exercises | p.8 |

Improving Your Algebra Skills | p.9 | ||

0.3 | Circle Designs | Exercises | p.12 |

0.4 | Op Art | Exercises | p.15 |

0.5 | Knot Designs | Exercises | p.18 |

0.6 | Islamic Tile Designs | Exercises | p.22 |

Chapter 0 Review | p.24 |

### Chapter 1

Introducing Geometry

1.1 | Building Blocks of Geometry | Exercises | p.33 |

Using Your Algebra Skills 1: Midpoint | p.37 | ||

1.2 | Poolroom Math | Exercises | p.42 |

1.3 | What's a Widget | Exercises | p.51 |

1.4 | Polygons | Exercises | p.56 |

1.5 | Triangles | Exercises | p.62 |

1.6 | Special Quadrilaterals | Exercises | p.66 |

1.7 | Circles | Exercises | p.72 |

1.8 | Space Geometry | Exercises | p.78 |

1.9 | A Picture Is Worth a Thousand Words | Exercises | p.84 |

Chapter 1 Review | p.90 |

### Chapter 2

Reasoning In Geometry

2.1 | Inductive Reasoning | Exercises | p.98 |

2.2 | Finding the nth Term | Exercises | p.105 |

2.3 | Mathematical Modeling | Exercises | p.112 |

2.4 | Deductive Reasoning | Exercises | p.117 |

2.5 | Angle Relationships | Exercises | p.124 |

2.6 | Special Angles on Parallel Lines | Exercises | p.131 |

Using Your Algebra Skills 2: Slope | p.136 | ||

Chapter 2 Review | p.139 |

### Chapter 3

Using Tools Of Geometry

3.1 | Duplicating Segments and Angles | Exercises | p.147 |

3.2 | Constructing Perpendicular Bisectors | Exercises | p.151 |

3.3 | Constructing Perpendiculars to a Line | Exercises | p.156 |

3.4 | Constructing Angle Bisectors | Exercises | p.160 |

3.5 | Constructing Parallel Lines | Exercises | p.164 |

Using Your Algebra Skills 3: Slopes of Parallel and Perpendicular Lines | p.169 | ||

3.6 | Construction Problems | Exercises | p.171 |

3.7 | Constructing Points of Concurrency | Exercises | p.181 |

3.8 | The Centroid | Exercises | p.188 |

Chapter 3 Review | p.193 |

### Chapter 4

Discovering And Proving Triangle Properties

4.1 | Triangle Sum Conjecture | Exercises | p.203 |

4.2 | Properties of Isosceles Triangles | Exercises | p.208 |

Using Your Algebra Skills 4: Solving Equations | p.214 | ||

4.3 | Triangle Inequalities | Exercises | p.218 |

4.4 | Are There Congruence Shortcuts? | Exercises | p.224 |

4.5 | Are There Other Congruence Shortcuts? | Exercises | p.229 |

4.6 | Corresponding Parts of Congruent Triangles | Exercises | p.233 |

4.7 | Flowchart Thinking | Exercises | p.239 |

4.8 | Proving Special Triangle Conjectures | Exercises | p.245 |

Chapter 4 Review | p.251 |

### Chapter 5

Discovering And Proving Polygon Properties

5.1 | Polygon Sum Conjecture | Exercises | p.259 |

5.2 | Exterior Angles of a Polygon | Exercises | p.263 |

5.3 | Kite and Trapezoid Properties | Exercises | p.271 |

5.4 | Properties of Midsegments | Exercises | p.277 |

5.5 | Properties of Parallelograms | Exercises | p.283 |

Using Your Algebra Skills 5: Writing Linear Equations | p.289 | ||

5.6 | Properties of Special Parallelograms | Exercises | p.294 |

5.7 | Proving Quadrilateral Properties | Exercises | p.300 |

Chapter 5 Review | p.304 |

### Chapter 6

Discovering And Proving Circle Properties

6.1 | Tangent Properties | Exercises | p.313 |

6.2 | Chord Properties | Exercises | p.320 |

6.3 | Arcs and Angles | Exercises | p.327 |

6.4 | Proving Circle Conjectures | Exercises | p.332 |

6.5 | The Circumference/Diameter Ratio | Exercises | p.337 |

6.6 | Around the World | Exercises | p.342 |

Using Your Algebra Skills 6: Solving Systems of Linear Equations | p.348 | ||

6.7 | Arc Length | Exercises | p.351 |

Chapter 6 Review | p.359 |

### Chapter 7

Transformations And Tessellations

7.1 | Transformations and Symmetry | Exercises | p.372 |

7.2 | Properties of Isometries | Exercises | p.380 |

7.3 | Compositions of Transformations | Exercises | p.386 |

7.4 | Tessellations with Regular Polygons | Exercises | p.392 |

7.5 | Tessellations with Nonregular Polygons | Exercises | p.396 |

7.6 | Tessellations Using Only Translations | Exercises | p.400 |

7.7 | Tessellations That Use Rotations | Exercises | p.405 |

7.8 | Tessellations That Use Glide Reflections | Exercises | p.411 |

Using Your Algebra Skills 7: Finding Points of Concurrency | p.415 | ||

Chapter 7 Review | p.416 |

### Chapter 8

Area

8.1 | Areas of Rectangles and Parallelograms | Exercises | p.425 |

8.2 | Areas of Triangles, Trapezoids, and Kites | Exercises | p.430 |

8.3 | Area Problems | Exercises | p.435 |

Using Your Algebra Skills 8: Products, Factors, and Quadratic Functions | p.440 | ||

8.4 | Areas of Regular Polygons | Exercises | p.443 |

8.5 | Areas of Circles | Exercises | p.451 |

8.6 | Any Way You Slice It | Exercises | p.455 |

8.7 | Surface Area | Exercises | p.466 |

Chapter 8 Review | p.471 |

### Chapter 9

The Pythagorean Theorem

9.1 | The Theorem of Pythagoras | Exercises | p.481 |

9.2 | The Converse of the Pythagorean Theorem | Exercises | p.486 |

Using Your Algebra Skills 9: Radical Expressions | p.490 | ||

9.3 | Two Special Right Triangles | Exercises | p.493 |

9.4 | Story Problems | Exercises | p.498 |

9.5 | Distance in Coordinate Geometry | Exercises | p.504 |

9.6 | Circles and the Pythagorean Theorem | Exercises | p.509 |

Chapter 9 Review | p.512 |

### Chapter 10

Volume

10.1 | The Geometry of Solids | Exercises | p.524 |

10.2 | Volume of Prisms and Cylinders | Exercises | p.533 |

10.3 | Volume of Pyramids and Cones | Exercises | p.540 |

10.4 | Volume Problems | Exercises | p.548 |

10.5 | Displacement and Density | Exercises | p.552 |

10.6 | Volume of a Sphere | Exercises | p.559 |

10.7 | Surface Area of Sphere | Exercises | p.563 |

Using Your Algebra Skills 10: Solving for Any Variable | p.568 | ||

Chapter 10 Review | p.572 |

### Chapter 11

Similarity

Using Your Algebra Skills 11: Proportion and Reasoning | p.579 | ||

11.1 | Similar Polygons | Exercises | p.585 |

11.2 | Similar Triangles | Exercises | p.591 |

11.3 | Indirect Measurement with Similar Triangles | Exercises | p.599 |

11.4 | Corresponding Parts of Similar Triangles | Exercises | p.605 |

11.5 | Proportions with Area | Exercises | p.610 |

11.6 | Proportions with Volume | Exercises | p.616 |

11.7 | Proportional Segments Between Parallel Lines | Exercises | p.627 |

Chapter 11 Review | p.634 |

### Chapter 12

Trigonomtery

12.1 | Trigonometric Ratios | Exercises | p.644 |

12.2 | Problem Solving with Right Triangles | Exercises | p.648 |

12.3 | The Law of Sines | Exercises | p.657 |

12.4 | The Law of Cosines | Exercises | p.663 |

12.5 | Problem Solving with Trigonometry | Exercises | p.668 |

Using Your Algebra Skills 12: Transformation Functions | p.677 | ||

Chapter 12 Review | p.683 |

### Chapter 13

Geometry As A Mathematical System

13.1 | The Premises of Geometry | Exercises | p.698 |

13.2 | Planning a Geometry Proof | Exercises | p.708 |

13.3 | Triangle Proofs | Exercises | p.712 |

13.4 | Quadrilateral Proofs | Exercises | p.717 |

13.5 | Indirect Proof | Exercises | p.724 |

13.6 | Circle Proofs | Exercises | p.728 |

13.7 | Similarity Proofs | Exercises | p.733 |

Using Your Algebra Skills 13: Coordinate Proof | p.741 | ||

Chapter 13 Review | p.745 |