### 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 and Special Quadrilaterals | Exercises | p.64 |

1.6 | Circles | Exercises | p.70 |

1.7 | A Picture is Worth a Thousand Words | Exercises | p.76 |

1.8 | Space Geometry | Exercises | p.83 |

Chapter 1 Review | p.88 |

### Chapter 2

Reasoning In Geometry

2.1 | Inductive Reasoning | Exercises | p.96 |

2.2 | Deductive Reasoning | Exercises | p.103 |

2.3 | Finding the nth Term | Exercises | p.109 |

2.4 | Mathematical Modeling | Exercises | p.115 |

2.5 | Angle Relationships | Exercises | p.122 |

2.6 | Special Angles on Parallel Lines | Exercises | p.129 |

Using Your Algebra Skills 2: Slope | p.134 | ||

Chapter 2 Review | p.138 |

### Chapter 3

Using Tools Of Geometry

3.1 | Duplicating Segments and Angles | Exercises | p.145 |

3.2 | Constructing Perpendicular Bisectors | Exercises | p.149 |

3.3 | Constructing Perpendiculars to a Line | Exercises | p.154 |

3.4 | Constructing Angle Bisectors | Exercises | p.158 |

3.5 | Constructing Parallel Lines | Exercises | p.162 |

Using Your Algebra Skills 3: Slopes of Parallel and Perpendicular Lines | p.167 | ||

3.6 | Construction Problems | Exercises | p.169 |

3.7 | Constructing Points of Concurrency | Exercises | p.179 |

3.8 | The Centroid | Exercises | p.186 |

Chapter 3 Review | p.191 |

### Chapter 4

Discovering And Proving Triangle Properties

4.1 | Triangle Sum Conjecture | Exercises | p.201 |

4.2 | Properties of Special Triangles | Exercises | p.206 |

Using Your Algebra Skills 4: Writing Linear Equations | p.212 | ||

4.3 | Triangle Inequalities | Exercises | p.216 |

4.4 | Are There Congruence Shortcuts? | Exercises | p.222 |

4.5 | Are There Other Congruence Shortcuts? | Exercises | p.227 |

4.6 | Corresponding Parts of Congruent Triangles | Exercises | p.231 |

4.7 | Flowchart Thinking | Exercises | p.237 |

4.8 | Proving Isosceles Triangle Conjectures | Exercises | p.243 |

Chapter 4 Review | p.249 |

### Chapter 5

Discovering And Proving Polygon Properties

5.1 | Polygon Sum Conjecture | Exercises | p.257 |

Improving Your Visual Thinking Skills | p.259 | ||

5.2 | Exterior Angles of a Polygon | Exercises | p.262 |

5.3 | Kite and Trapezoid Properties | Exercises | p.269 |

5.4 | Properties of Midsegments | Exercises | p.275 |

5.5 | Properties of Parallelograms | Exercises | p.281 |

Using Your Algebra Skills 5: Solving Systems of Linear Equations | p.286 | ||

5.6 | Properties of Special Parallelograms | Exercises | p.290 |

5.7 | Proving Quadrilateral Properties | Exercises | p.296 |

Chapter 5 Review | p.300 |

### Chapter 6

Discovering And Proving Circle Properties

6.1 | Chord Properties | Exercises | p.310 |

6.2 | Tangent Properties | Exercises | p.315 |

6.3 | Arcs and Angles | Exercises | p.322 |

6.4 | Proving Circle Conjectures | Exercises | p.327 |

Using Your Algebra Skills 6: Finding the Circumcenter | p.330 | ||

6.5 | The Circumference/Diameter Ratio | Exercises | p.333 |

6.6 | Around the World | Exercises | p.338 |

6.7 | Arc Length | Exercises | p.343 |

Chapter 6 Review | p.349 |

### Chapter 7

Transformations And Tessellations

7.1 | Transformations and Symmetry | Exercises | p.362 |

7.2 | Properties of Isometries | Exercises | p.370 |

7.3 | Compositions of Transformations | Exercises | p.376 |

7.4 | Tessellations with Regular Polygons | Exercises | p.382 |

7.5 | Tessellations with Nonregular Polygons | Exercises | p.386 |

7.6 | Tessellations Using Only Translations | Exercises | p.390 |

7.7 | Tessellations That Use Rotations | Exercises | p.395 |

7.8 | Tessellations That Use Glide Reflections | Exercises | p.399 |

Using Your Algebra Skills 7: Finding the Orthocenter and Centroid | p.403 | ||

Chapter 7 Review | p.404 |

### Chapter 8

Area

8.1 | Areas of Rectangles and Parallelograms | Exercises | p.413 |

8.2 | Areas of Triangles, Trapezoids, and Kites | Exercises | p.418 |

8.3 | Area Problems | Exercises | p.423 |

8.4 | Areas of Regular Polygons | Exercises | p.427 |

8.5 | Areas of Circles | Exercises | p.435 |

8.6 | Any Way You Slice It | Exercises | p.439 |

8.7 | Surface Area | Exercises | p.450 |

Chapter 8 Review | p.455 |

### Chapter 9

The Pythagorean Theorem

9.1 | The Theorem of Pythagoras | Exercises | p.465 |

9.2 | The Converse of the Pythagorean Theorem | Exercises | p.470 |

Using Your Algebra Skills 8: Radical Expressions | p.474 | ||

9.3 | Two Special Right Triangles | Exercises | p.477 |

9.4 | Story Probelms | Exercises | p.482 |

9.5 | Distance in Coordinate Geometry | Exercises | p.489 |

9.6 | Circles and the Pythagorean Theorem | Exercises | p.493 |

Chapter 9 Review | p.496 |

### Chapter 10

Volume

10.1 | The Geometry of Solids | Exercises | p.508 |

10.2 | Volume of Prisms and Cylinders | Exercises | p.517 |

10.3 | Volume of Pyramids and Cones | Exercises | p.524 |

10.4 | Volume Problems | Exercises | p.532 |

10.5 | Displacement and Density | Exercises | p.536 |

10.6 | Volume of a Sphere | Exercises | p.543 |

10.7 | Surface Area of a Sphere | Exercises | p.547 |

Chapter 10 Review | p.554 |

### Chapter 11

Similarity

Using Your Algebra Skills 9: Proportion and Reasoning | p.561 | ||

11.1 | Similar Polygons | Exercises | p.568 |

11.2 | Similar Triangles | Exercises | p.574 |

11.3 | Indirect Measurement with Similar Triangles | Exercises | p.582 |

11.4 | Corresponding Parts of Similar Triangles | Exercises | p.588 |

11.5 | Proportions with Area and Volume | Exercises | p.595 |

11.6 | Proportional Segments Between Parallel Lines | Exercises | p.607 |

Chapter 11 Review | p.614 |

### Chapter 12

Trigonometry

12.1 | Trigonometric Ratios | Exercises | p.624 |

12.2 | Problem Solving with Right Triangles | Exercises | p.628 |

12.3 | The Law of Sines | Exercises | p.637 |

12.4 | The Law of Cosines | Exercises | p.643 |

12.5 | Problem Solving with Trigonometry | Exercises | p.648 |

Chapter 12 Review | p.659 |

### Chapter 13

Geometry As A Mathematical System

13.1 | The Premises of Geometry | Exercises | p.674 |

13.2 | Planning a Geometry Proof | Exercises | p.684 |

13.3 | Triangle Proofs | Exercises | p.688 |

13.4 | Quadrilateral Proofs | Exercises | p.693 |

13.5 | Indirect Proof | Exercises | p.700 |

13.6 | Circle Proofs | Exercises | p.704 |

13.7 | Similarity Proofs | Exercises | p.709 |

Using Your Algebra Skills 10: Coordinate Proof | p.716 | ||

Chapter 13 Review | p.721 |