### 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