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### 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

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