T8

Chapter

1Chapter

1

viii Contents

Check Your Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2

1-1 Patterns and Inductive Reasoning . . . . . . . . . . . . . . . . . . . . . . . . . 4

1-2 Drawings, Nets, and Other Models . . . . . . . . . . . . . . . . . . . . . . . 10

1-3 Points, Lines, and Planes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16

1-4 Segments, Rays, Parallel Lines and Planes . . . . . . . . . . . . . . . . . 23• Vocabulary Builder Geometry Vocabulary, 29

Checkpoint Quiz 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28

1-5 Measuring Segments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31• Algebra 1 Review: Solving Linear Equations, 30

1-6 Measuring Angles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36

1-7 Basic Constructions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44• Activity Lab Hands-On: Compass Designs, 43• Activity Lab Technology: Exploring Constructions, 51

1-8 The Coordinate Plane . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53• Activity Lab Distance in the Coordinate Plane, 52• Guided Problem Solving Understanding Word

Problems, 60

Checkpoint Quiz 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59

1-9 Perimeter, Circumference, and Area . . . . . . . . . . . . . . . . . . . . . . 61• Activity Lab Technology: Comparing Perimeters

and Areas, 69

• Activity Lab Data Analysis: Linear Regression, 76

Assessment and Test Prep• Test-Taking Strategies: Writing Gridded Responses, 70• Chapter Review, 71• Chapter Test, 74• Standardized Test Prep: Reading Comprehension, 75

Tools of Geometry

Vocabulary

Student Support

Instant Check System

Check Your Readiness 2

Check Skills You’ll Need 4, 10, 16, 23,31, 36, 44, 53, 61

Quick Check 4, 5, 6, 10, 11, 12, 17, 19,23, 24, 25, 32, 33, 36, 37, 38, 39, 44, 45,46, 47, 54, 55, 62, 63, 64

Checkpoint Quiz 28, 59

New Vocabulary 4, 10, 16, 23, 31, 36, 44

Vocabulary Tip 10, 17, 18, 24, 26, 31,34, 36, 53, 61, 62, 63

Vocabulary Builder 29

Vocabulary Review 71

Video Tutor Help 37, 39, 63

Active Math 45, 54, 61, 64

Homework Help 8, 14, 23, 26, 34, 41,48, 56, 67

Lesson Quizzes 9, 15, 21, 27, 35, 41, 49,59, 67

Vocabulary Quiz 71

Chapter Test 74

Geometry at Work 50

GEOM_TE_FM 10/31/05 11:39 AM Page T8

T9

Chapter

2Chapter

2 Reasoning and Proof

Vocabulary

Student Support

Instant Check System

Check Your Readiness 78

Check Skills You’ll Need 80, 87, 94,103, 110

Quick Check 80, 81, 82, 87, 88, 89, 94,95, 96, 104, 105, 111, 112

Checkpoint Quiz 100

New Vocabulary 80, 87, 94, 103, 110

Vocabulary Tip 87, 92, 95, 96

Vocabulary Review 117

Active Math 80, 89

Homework Help 85, 91, 97, 106, 113

Lesson Quizzes 85, 93, 99, 107, 115

Vocabulary Quiz 117

Chapter Test 120

A Point in Time 100

Contents ix

Check Your Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78

2-1 Conditional Statements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80

2-2 Biconditionals and Definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . 87

2-3 Deductive Reasoning . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94• Activity Lab: Mathematical Systems, 101

Checkpoint Quiz 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100

2-4 Reasoning in Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103• Activity Lab Hands-On: Paper-Folding

Constructions, 102• Guided Problem Solving Understanding Math

Problems, 109

2-5 Proving Angles Congruent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110

• Activity Lab Applying Reasoning, 122

Assessment and Test Prep• Test-Taking Strategies: Writing Short Responses, 116• Chapter Review, 117• Chapter Test, 120• Standardized Test Prep: Cumulative Review, 121

GEOM_TE_FM 10/31/05 11:39 AM Page T9

Chapter

3Chapter

3 Parallel and Perpendicular Lines

Check Your Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . 124

3-1 Properties of Parallel Lines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127• Activity Lab Technology: Parallel Lines and Related

Angles, 126

3-2 Proving Lines Parallel . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134

3-3 Parallel and Perpendicular Lines . . . . . . . . . . . . . . . . . . . . . . . . 141• Guided Problem Solving Understanding Proof

Problems, 145

3-4 Parallel Lines and the Triangle Angle-Sum Theorem . . . . . . . . 147• Activity Lab Hands-On: Angle Dynamics, 146 • Activity Lab Exploring Spherical Geometry, 154

Checkpoint Quiz 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 153

3-5 The Polygon Angle-Sum Theorems . . . . . . . . . . . . . . . . . . . . . . 157• Activity Lab Technology: Exterior Angles of

Polygons, 156

3-6 Lines in the Coordinate Plane . . . . . . . . . . . . . . . . . . . . . . . . . . 166• Algebra 1 Review: Slope, 165• Activity Lab Technology: Solving Linear Equations

With Graphs and Tables, 172

3-7 Slopes of Parallel and Perpendicular Lines . . . . . . . . . . . . . . . . 174

Checkpoint Quiz 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 180

3-8 Constructing Parallel and Perpendicular Lines . . . . . . . . . . . . . 181• Activity Lab Technology: Using Tables and Lists, 187

• Activity Lab Applying Parallel Lines, 194

Assessment and Test Prep• Test-Taking Strategies: Writing Extended Responses, 188• Chapter Review, 189• Chapter Test, 192• Standardized Test Prep: Reading Comprehension, 193

x Contents

Vocabulary

Student Support

Instant Check System

Check Your Readiness 124

Check Skills You’ll Need 127, 134, 141,147, 157, 166, 174, 181

Quick Check 127, 128, 129, 130, 135,136, 137, 142, 148, 149, 150, 157, 158,159, 160, 166, 167, 168, 174, 175, 176,177, 181, 182, 183

Checkpoint Quiz 153, 180

New Vocabulary 127, 134, 147, 157,166

Vocabulary Tip 128, 129, 149, 158, 159,166, 167, 176

Vocabulary Review 189

Video Tutor Help 127, 148, 159

Active Math 149, 160, 182

Homework Help 132, 138, 144, 152,162, 170, 178, 185

Lesson Quizzes 133, 139, 143, 153, 163,171, 179, 185

Vocabulary Quiz 189

Chapter Test 192

T10T10T10

GEOM_TE_FM 10/31/05 11:39 AM Page T10

Vocabulary

Chapter

4Chapter

4Check Your Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . 196

4-1 Congruent Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 198

4-2 Triangle Congruence by SSS and SAS . . . . . . . . . . . . . . . . . . . . 205• Activity Lab Hands-On: Building Congruent

Triangles, 204• Vocabulary Builder High-Use Academic Words, 212

4-3 Triangle Congruence by ASA and AAS . . . . . . . . . . . . . . . . . . . 213• Activity Lab Technology: Exploring AAA and SSA, 220

Checkpoint Quiz 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 219

4-4 Using Congruent Triangles: CPCTC . . . . . . . . . . . . . . . . . . . . . . 221• Guided Problem Solving Analyzing Errors, 226

4-5 Isosceles and Equilateral Triangles . . . . . . . . . . . . . . . . . . . . . . 228• Activity Lab Hands-On: Paper-Folding Conjectures, 227

4-6 Congruence in Right Triangles . . . . . . . . . . . . . . . . . . . . . . . . . . 235• Algebra 1 Review: Systems of Linear Equations, 234

Checkpoint Quiz 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 240

4-7 Using Corresponding Parts of Congruent Triangles . . . . . . . . . 241• Extension: Writing Flow Proofs, 247

• Activity Lab Data Analysis: Probability, 254

Assessment and Test Prep• Test-Taking Strategies: Interpreting Data, 248• Chapter Review, 249• Chapter Test, 252• Standardized Test Prep: Cumulative Review, 253

Congruent TrianglesStudent Support

Instant Check System

Check Your Readiness 196

Check Skills You’ll Need 198, 205, 213,221, 228, 235, 241

Quick Check 198, 199, 200, 206, 207,213, 214, 215, 221, 222, 229, 230, 236,237, 241, 242, 243

Checkpoint Quiz 219, 240

New Vocabulary 198, 221, 228, 235

Vocabulary Tip 206, 228, 230, 241

Vocabulary Builder 212

Vocabulary Review 249

Video Tutor Help 207, 215

Active Math 207, 230, 236

Homework Help 202, 209, 217, 223,231, 238, 244

Lesson Quizzes 201, 211, 219, 225, 233,239, 245

Vocabulary Quiz 249

Chapter Test 252

Geometry at Work 203

Contents xiT11

GEOM_TE_FM 10/31/05 11:39 AM Page T11

Chapter

5Chapter

5 Relationships Within Triangles

Check Your Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . 256

5-1 Midsegments of Triangles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 259• Activity Lab Technology: Investigating

Midsegments, 258

5-2 Bisectors in Triangles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 265

5-3 Concurrent Lines, Medians, and Altitudes . . . . . . . . . . . . . . . . 272• Activity Lab Technology: Special Segments

in Triangles, 271

Checkpoint Quiz 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 279

5-4 Inverses, Contrapositives, and Indirect Reasoning . . . . . . . . . . 280• Guided Problem Solving Understanding Proof

Problems, 287

5-5 Inequalities in Triangles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 289• Algebra 1 Review: Solving Inequalities, 288

• Activity Lab Applying Theorems About Triangles, 302

Assessment and Test Prep• Test-Taking Strategies: Using a Variable, 296• Chapter Review, 297• Chapter Test, 300• Standardized Test Prep: Reading Comprehension, 301

xii Contents

Vocabulary

Student Support

Instant Check System

Check Your Readiness 256

Check Skills You’ll Need 259, 265, 272,280, 289

Quick Check 260, 261, 266, 267, 273,274, 275, 280, 281, 282, 283, 290, 291,292

Checkpoint Quiz 279

New Vocabulary 259, 265, 272, 280

Vocabulary Tip 260, 273, 280

Vocabulary Review 297

Active Math 266, 275, 292

Homework Help 263, 268, 277, 284, 294

Lesson Quizzes 263, 269, 279, 285, 295

Vocabulary Quiz 297

Chapter Test 300

Geometry at Work 286

T12T12T12

GEOM_TE_FM 10/31/05 11:39 AM Page T12

Chapter

6Chapter

6Check Your Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . 304

6-1 Classifying Quadrilaterals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 306

6-2 Properties of Parallelograms . . . . . . . . . . . . . . . . . . . . . . . . . . . 312• Guided Problem Solving Understanding Proof

Problems, 319

6-3 Proving That a Quadrilateral is a Parallelogram . . . . . . . . . . . . 321• Activity Lab Hands-On: Geo-Models, 320

Checkpoint Quiz 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 327

6-4 Special Parallelograms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 329• Activity Lab Technology: Diagonals of

Parallelograms, 328

6-5 Trapezoids and Kites . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 336• Activity Lab Technology: Quadrilaterals in

Quadrilaterals, 342

6-6 Placing Figures in the Coordinate Plane . . . . . . . . . . . . . . . . . . 343

Checkpoint Quiz 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 347

6-7 Proofs Using Coordinate Geometry . . . . . . . . . . . . . . . . . . . . . . 348• Algebra 1 Review: Quadratics, 354

• Activity Lab Data Analysis: Interpreting Data, 362

Assessment and Test Prep• Test-Taking Strategies: Drawing a Diagram, 356• Chapter Review, 357• Chapter Test, 360• Standardized Test Prep: Cumulative Review, 361

Quadrilaterals

Contents xiii

Vocabulary

Student Support

Instant Check System

Check Your Readiness 304

Check Skills You’ll Need 306, 312, 321,329, 336, 343, 348

Quick Check 307, 308, 313, 314, 315,323, 324, 330, 331, 332, 337, 338, 343,344, 349

Checkpoint Quiz 327, 347

New Vocabulary 306, 312, 336, 348

Vocabulary Tip 307, 312, 329

Vocabulary Review 357

Active Math 307, 323, 331

Homework Help 310, 317, 325, 333,339, 345, 351

Lesson Quizzes 311, 317, 327, 335, 341,345, 353

Vocabulary Quiz 357

Chapter Test 360

A Point in Time 347

T13

GEOM_TE_FM 10/31/05 11:40 AM Page T13

Chapter

7Chapter

7 SimilarityCheck Your Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . 364

7-1 Ratios and Proportions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 366

7-2 Similar Polygons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 373• Algebra 1 Review: Solving Quadratic Equations, 372• Extension: Fractals, 380

Checkpoint Quiz 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 379

7-3 Proving Triangles Similar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 382• Vocabulary Builder Abbreviations and Symbols, 389

7-4 Similarity in Right Triangles . . . . . . . . . . . . . . . . . . . . . . . . . . . . 391• Algebra 1 Review: Simplifying Radicals, 390

7-5 Proportions in Triangles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 398• Activity Lab Technology: Exploring Proportions

in Triangles, 397 • Guided Problem Solving Understanding Word

Problems, 405

Checkpoint Quiz 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 404

• Activity Lab Data Analysis: Accuracy and Precision in Measuring, 412

Assessment and Test Prep• Test-Taking Strategies: Testing Multiple Choices, 406• Chapter Review, 407• Chapter Test, 410• Standardized Test Prep: Reading Comprehension, 411

xiv Contentsxiv Contents

Vocabulary

Student Support

Instant Check System

Check Your Readiness 364

Check Skills You’ll Need 366, 373, 382,391, 398

Quick Check 366, 367, 368, 373, 374,375, 383, 384, 385, 392, 393, 399, 400

Checkpoint Quiz 379, 404

New Vocabulary 366, 373, 382, 391

Vocabulary Tip 366, 367, 392, 394

Vocabulary Builder 389

Vocabulary Review 407

Active Math 374, 393

Homework Help 369, 377, 387, 395, 402

Lesson Quizzes 369, 379, 387, 395, 403

Vocabulary Quiz 407

Chapter Test 410

A Point in Time 371

T14T14T14

GEOM_TE_FM 10/31/05 11:40 AM Page T14

Chapter

8Chapter

8Check Your Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . 414

8-1 The Pythagorean Theorem and Its Converse . . . . . . . . . . . . . . 417• Activity Lab Hands-On: The Pythagorean Theorem, 416• Guided Problem Solving Understanding Word

Problems, 424

8-2 Special Right Triangles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 425

Checkpoint Quiz 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 430

8-3 The Tangent Ratio . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 432• Activity Lab Hands-On: The Staff and Stadiascope, 431

8-4 Sine and Cosine Ratios . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 439• Activity Lab Technology: Exploring Trigonometric

Ratios, 438

8-5 Angles of Elevation and Depression . . . . . . . . . . . . . . . . . . . . . 445• Activity Lab Hands-On: Measuring From Afar, 444• Guided Problem Solving Understanding Word

Problems, 451

Checkpoint Quiz 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 450

8-6 Vectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 452

• Activity Lab Applying the Pythagorean Theorem, 466

Assessment and Test Prep• Test-Taking Strategies: Eliminating Answers, 460• Chapter Review, 461• Chapter Test, 464• Standardized Test Prep: Cumulative Review, 465

Right Triangles andTrigonometry

Contents xv

Vocabulary

Student Support

Instant Check System

Check Your Readiness 414

Check Skills You’ll Need 417, 425, 432,439, 445, 452

Quick Check 418, 419, 425, 426, 427,433, 434, 439, 440, 445, 446, 453, 454, 455

Checkpoint Quiz 430, 450

New Vocabulary 417, 432, 439, 445, 452

Vocabulary Tip 417, 432

Vocabulary Review 461

Active Math 419, 434, 440, 454

Homework Help 421, 429, 435, 442,447, 458

Lesson Quizzes 423, 429, 437, 443, 449,459

Vocabulary Quiz 461

Chapter Test 464

T15

GEOM_TE_FM 10/31/05 11:40 AM Page T15

Chapter

9Chapter

9 TransformationsCheck Your Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . 468

9-1 Translations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 470

9-2 Reflections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 478• Activity Lab Hands-On: Paper Folding and

Reflections, 477

9-3 Rotations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 483• Guided Problem Solving Understanding Math

Problems, 489• Activity Lab Hands-On: Tracing-Paper

Transformations, 490

Checkpoint Quiz 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 488

9-4 Symmetry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 492• Vocabulary Builder Extend and Generalize, 497

9-5 Dilations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 498• Extension: Transformations Using Vectors and

Matrices, 504

9-6 Compositions of Reflections . . . . . . . . . . . . . . . . . . . . . . . . . . . 506• Activity Lab Technology: Kaleidoscopes, 513

9-7 Tessellations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 515• Activity Lab Hands-On: Frieze Patterns, 514

Checkpoint Quiz 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 521

• Activity Lab Applying Translations and Rotations, 528

Assessment and Test Prep• Test-Taking Strategies: Answering the Question Asked, 522• Chapter Review, 523• Chapter Test, 526• Standardized Test Prep: Reading Comprehension, 527

xvi Contents

Vocabulary

Student Support

Instant Check System

Check Your Readiness 468

Check Skills You’ll Need 470, 478, 483,492, 498, 506, 515

Quick Check 470, 471, 472, 479, 484,485, 492, 493, 499, 506, 507, 508, 509,515, 516, 517

Checkpoint Quiz 488, 521

New Vocabulary 470, 478, 483, 492,498, 506, 515

Vocabulary Tip 470, 471, 484, 493, 515

Vocabulary Builder 497

Vocabulary Review 523

Active Math 479

Homework Help 475, 480, 487, 495,502, 510, 519

Lesson Quizzes 475, 481, 487, 495, 503,511, 519

Vocabulary Quiz 523

Chapter Test 526

A Point in Time 521

T16T16T16

GEOM_TE_FM 10/31/05 11:40 AM Page T16

Chapter

10Chapter

10Check Your Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . 530

10-1 Areas of Parallelograms and Triangles . . . . . . . . . . . . . . . . . . . 534• Activity Lab Hands-On: Transforming to Find Area, 532

10-2 Areas of Trapezoids, Rhombuses, and Kites . . . . . . . . . . . . . . . 540

10-3 Areas of Regular Polygons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 546• Guided Problem Solving Understanding Word

Problems, 552

Checkpoint Quiz 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 551

10-4 Perimeters and Areas of Similar Figures . . . . . . . . . . . . . . . . . . 553

10-5 Trigonometry and Area . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 559• Extension: Laws of Sines and Cosines, 565

10-6 Circles and Arcs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 566

10-7 Areas of Circles and Sectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . 575• Algebra 1 Review: Dimensional Analysis, 574• Activity Lab Technology: Exploring Area and

Circumference, 581

Checkpoint Quiz 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 580

10-8 Geometric Probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 582

• Activity Lab Data Analysis: Misleading Graphs, 594

Assessment and Test Prep• Test-Taking Strategies: Finding Multiple Correct

Answers, 588• Chapter Review, 589• Chapter Test, 592• Standardized Test Prep: Cumulative Review, 593

Area

Contents xvii

Vocabulary

Student Support

Instant Check System

Check Your Readiness 530

Check Skills You’ll Need 534, 540, 546,553, 559, 566, 575, 582

Quick Check 535, 536, 540, 541, 542,546, 547, 554, 555, 559, 560, 561, 567,568, 569, 576, 577, 582, 583, 584

Checkpoint Quiz 551, 580

New Vocabulary 534, 540, 546, 566,575, 582

Vocabulary Tip 534, 540, 546, 559, 566,582

Vocabulary Review 589

Video Tutor Help 535, 542

Active Math 535, 555, 583

Homework Help 537, 543, 549, 556,562, 570, 578, 585

Lesson Quizzes 539, 543, 549, 557, 563,573, 579, 587

Vocabulary Quiz 589

Chapter Test 592

A Point in Time 545

Geometry at Work 564

T17

GEOM_TE_FM 10/31/05 11:40 AM Page T17

Chapter

11Chapter

11 Surface Area and VolumeCheck Your Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . 596

11-1 Space Figures and Cross Sections . . . . . . . . . . . . . . . . . . . . . . . 598• Extension: Perspective Drawing, 605

11-2 Surface Areas of Prisms and Cylinders . . . . . . . . . . . . . . . . . . . 608• Algebra 1 Review: Literal Equations, 607• Guided Problem Solving Understanding Word

Problems, 615• Activity Lab Technology: Exploring Surface Area, 616

11-3 Surface Areas of Pyramids and Cones . . . . . . . . . . . . . . . . . . . . 617

Checkpoint Quiz 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 623

11-4 Volumes of Prisms and Cylinders . . . . . . . . . . . . . . . . . . . . . . . . 624

11-5 Volumes of Pyramids and Cones . . . . . . . . . . . . . . . . . . . . . . . . 631

11-6 Surface Areas and Volumes of Spheres . . . . . . . . . . . . . . . . . . . 638

Checkpoint Quiz 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 644

11-7 Areas and Volumes of Similar Solids . . . . . . . . . . . . . . . . . . . . . 646• Activity Lab Technology: Exploring Similar Solids, 645

• Activity Lab Applying Volume, 658

Assessment and Test Prep• Test-Taking Strategies: Choosing “Cannot Be

Determined,” 652• Chapter Review, 653• Chapter Test, 656• Standardized Test Prep:

Reading Comprehension, 657

xviii Contents

Vocabulary

Student Support

Instant Check System

Check Your Readiness 596

Check Skills You’ll Need 598, 608, 617,624, 631, 638, 646

Quick Check 598, 599, 600, 609, 611,618, 619, 620, 625, 626, 627, 632, 633,634, 639, 640, 646, 647, 648

Checkpoint Quiz 623, 644

New Vocabulary 598, 608, 617, 624,638, 646

Vocabulary Tip 598, 617, 647

Vocabulary Review 653

Video Tutor Help 626

Active Math 625, 633

Homework Help 602, 612, 622, 628,635, 642, 650

Lesson Quizzes 603, 613, 621, 629, 635,643, 651

Vocabulary Quiz 653

Chapter Test 656

Geometry at Work 637

T18T18T18

GEOM_TE_FM 10/31/05 11:40 AM Page T18

Chapter

12Chapter

12Check Your Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . 660

12-1 Tangent Lines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 662

12-2 Chords and Arcs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 670• Activity Lab Hands-On: Paper Folding With Circles, 669• Guided Problem Solving Understanding Math

Problems, 677

12-3 Inscribed Angles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 678

Checkpoint Quiz 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 685

12-4 Angle Measures and Segment Lengths . . . . . . . . . . . . . . . . . . . 687• Activity Lab Technology: Exploring Chords and

Secants, 686 • Extension: Tangent Lines, Tangent Ratios, 694

12-5 Circles in the Coordinate Plane . . . . . . . . . . . . . . . . . . . . . . . . . 695

Checkpoint Quiz 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 700

12-6 Locus: A Set of Points . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 701

• Activity Lab Data Analysis: Market Research, 714

Assessment and Test Prep• Test-Taking Strategies: Using Estimation, 706• Chapter Review, 707• Chapter Test, 710• Standardized Test Prep: Cumulative Review, 711

Circles

Contents xix

Vocabulary

Student Support

Instant Check System

Check Your Readiness 660

Check Skills You’ll Need 662, 670, 678,687, 695, 701

Quick Check 663, 664, 665, 670, 671,673, 679, 680, 681, 688, 689, 690, 695,696, 697, 701, 702

Checkpoint Quiz 685, 700

New Vocabulary 662, 670, 678, 687,695, 701

Vocabulary Tip 662, 665, 679, 682, 687,689, 702

Vocabulary Review 707

Active Math 670, 680, 695

Homework Help 666, 675, 683, 692,698, 704

Lesson Quizzes 667, 675, 685, 691, 699,705

Vocabulary Quiz 707

Chapter Test 710

End-of-Course Test 711

Geometry at Work 693

T19

GEOM_TE_FM 10/31/05 11:40 AM Page T19