Geometry, Student Edition (Hardcover)

Unit 1 Geometric Structure
Tools of Geometry
Points, Lines, and Planes 6(7)
Reading Math: Describing What You See 12(1)
Linear Measure and Precision 13(8)
Distance and Midpoints 21(10)
Extend 1-3 Geometry Lab: Modeling the Pythagorean Theorem 30(1)
Angle Measure 31(9)
Mid-Chapter Quiz 39(1)
Angle Relationships 40(9)
Extend 1-5 Geometry Lab: Constructing Perpendiculars 48(1)
Two-Dimensional Figures 49(11)
Extend 1-6 Geometry Software Lab: Measuring Two-Dimensional Figures 58(2)
Three-Dimensional Figures 60(18)
Extend 1-7 Geometry Lab: Orthographic Drawings and Nets 67(1)
Study Guide and Review 68(5)
Practice Test 73(1)
Standardized Test Practice 74(4)
Reasoning and Proof
Inductive Reasoning and Conjecture 78(5)
Logic 83(8)
Conditional Statements 91(8)
Reading Math: Biconditional Statements 98(1)
Deductive Reasoning 99(6)
Postulates and Paragraph Proofs 105(6)
Mid-Chapter Quiz 110(1)
Algebraic Proof 111(7)
Proving Segment Relationships 118(6)
Proving Angle Relationships 124(18)
Study Guide and Review 132(5)
Practice Test 137(1)
Standardized Test Practice 138(4)
Parallel and Perpendicular Lines
Parallel Lines and Transversals 142(7)
Explore 3-2 Geometry Software Lab: Angles and Parallel Lines 148(1)
Angles and Parallel Lines 149(7)
Explore 3-3 Graphing Calculator Lab: Slope 155(1)
Slopes of Lines 156(9)
Mid-Chapter Quiz 164(1)
Equations of Lines 165(7)
Explore 3-4 Geometry Lab: Equations of Perpendicular Bisectors 171(1)
Proving Lines Parallel 172(9)
Explore 3-6 Graphing Calculator Lab: Points of Intersection 180(1)
Perpendiculars and Distance 181(21)
Extend 3-6 Geometry Lab: Non-Euclidean Geometry 188(2)
Reading Math: Necessary and Sufficient Conditions 190(1)
Study Guide and Review 191(4)
Practice Test 195(1)
Standardized Test Practice 196(6)
Unit 2 Congruence
Congruent Triangles
Classifying Triangles 202(8)
Explore 4-2 Geometry Lab: Angles of Triangles 209(1)
Angles of Triangles 210(7)
Congruent Triangles 217(8)
Reading Math: Making Concept Maps 224(1)
Proving Congruence--SSS, SAS 225(9)
Mid-Chapter Quiz 233(1)
Proving Congruence--ASA, AAS 234(10)
Extend 4-5 Geometry Lab: Congruence in Right Triangles 242(2)
Isosceles Triangles 244(7)
Triangles and Coordinate Proof 251(18)
Study Guide and Review 256(5)
Practice Test 261(1)
Standardized Test Practice 262(4)
Relationships in Triangles
Explore 5-1 Geometry Lab: Bisectors, Medians, and Altitudes of Triangles 266(3)
Bisectors, Medians, and Altitudes 269(11)
Reading Math: Writing Explanations 279(1)
Inequalities and Triangles 280(8)
Indirect Proof 288(8)
Mid-Chapter Quiz 294(1)
Explore 5-4 Graphing Calculator Lab: The Triangle Inequality 295(1)
The Triangle Inequality 296(6)
Inequalities Involving Two Triangles 302(16)
Study Guide and Review 310(3)
Practice Test 313(1)
Standardized Test Practice 314(4)
Quadrilaterals
Angles of Polygons 318(7)
Extend 6-1 Spreadsheet Lab: Angles of Polygons 324(1)
Parallelograms 325(8)
Reading Math: Hierarchy of Polygons 331(1)
Explore 6-3 Graphing Calculator Lab: Parallelograms 332(1)
Tests for Parallelograms 333(7)
Rectangles 340(8)
Mid-Chapter Quiz 347(1)
Rhombi and Squares 348(8)
Extend 6-5 Geometry Lab: Kites 355(1)
Trapezoids 356(7)
Coordinate Proof and Quadrilaterals 363(17)
Study Guide and Review 369(4)
Practice Test 373(1)
Standardized Test Practice 374(6)
Unit 3 Similarity
Proportions and Similarity
Proportions 380(8)
Extend 7-1 Graphing Calculator Lab: Fibonacci Sequence and Ratios 387(1)
Similar Polygons 388(9)
Similar Triangles 397(8)
Mid-Chapter Quiz 404(1)
Parallel Lines and Proportional Parts 405(10)
Parts of Similar Triangles 415(17)
Extend 7-5 Geometry Lab: Sierpinski Triangle 423(1)
Study Guide and Review 424(3)
Practice Test 427(1)
Standardized Test Practice 428(4)
Right Triangles and Trigonometry
Geometric Mean 432(8)
Explore 8-2 Geometry Lab: The Pythagorean Theorem 439(1)
The Pythagorean Theorem and Its Converse 440(8)
Explore 8-3 Geometry Lab: Patterns in Special Right Triangles 447(1)
Special Right Triangles 448(8)
Explore 8-4 Graphing Calculator Lab: Trigonometry 455(1)
Trigonometry 456(8)
Mid-Chapter Quiz 463(1)
Angles of Elevation and Depression 464(7)
The Law of Sines 471(8)
Extend 8-6 Geometry Software Lab: The Ambiguous Case of the Law of Sines 478(1)
The Law of Cosines 479(18)
Study Guide and Review 486(5)
Practice Test 491(1)
Standardized Test Practice 492(4)
Transformations
Explore 9-1 Geometry Lab: Transformations 496(1)
Reflections 497(7)
Translations 504(6)
Rotations 510(9)
Mid-Chapter Quiz 518(1)
Tessellations 519(6)
Dilations 525(9)
Reading Math: Scalars and Vectors 533(1)
Vectors 534(20)
Extend 9-6 Graphing Calculator Lab: Using Vectors 542(1)
Study Guide and Review 543(4)
Practice Test 547(1)
Standardized Test Practice 548(6)
Unit 4 Two- and Three-Dimensional Measurement
Circles
Circles and Circumference 554(9)
Reading Math: Everyday Expressions Containing Math Words 562(1)
Measuring Angles and Arcs 563(7)
Arcs and Chords 570(8)
Inscribed Angles 578(10)
Mid-Chapter Quiz 587(1)
Tangents 588(11)
Extend 10-5 Geometry Lab: Inscribed and Circumscribed Triangles 597(2)
Secants, Tangents, and Angle Measures 599(8)
Special Segments in a Circle 607(7)
Equations of Circles 614(16)
Study Guide and Review 620(5)
Practice Test 625(1)
Standardized Test Practice 626(4)
Areas of Polygons and Circles
Areas of Parallelograms 630(8)
Explore 11-2 Graphing Calculator Lab: Investigating Area 637(1)
Areas of Triangles, Trapezoids, and Rhombi 638(11)
Explore 11-3 Geometry Lab: Investigating Areas of Regular Polygons 648(1)
Areas of Regular Polygons and Circles 649(9)
Mid-Chapter Quiz 657(1)
Areas of Composite Figures 658(7)
Reading Math: Prefixes 664(1)
Geometric Probability and Areas of Sectors 665(15)
Study Guide and Review 672(3)
Practice Test 675(1)
Standardized Test Practice 676(4)
Extending Surface Area
Representations of Three-Dimensional Figures 680(6)
Surface Areas of Prisms 686(7)
Reading Math: Right Solids and Oblique Solids 692(1)
Surface Areas of Cylinders 693(6)
Mid-Chapter Quiz 698(1)
Surface Areas of Pyramids 699(7)
Surface Areas of Cones 706(5)
Surface Areas of Spheres 711(17)
Extend 12-6 Geometry Lab: Locus and Spheres 718(1)
Study Guide and Review 719(4)
Practice Test 723(1)
Standardized Test Practice 724(4)
Extending Volume
Volumes of Prisms and Cylinders 728(9)
Extend 13-1 Spreadsheet Lab: Changing Dimensions 736(1)
Volumes of Pyramids and Cones 737(6)
Volumes of Spheres 743(7)
Mid-Chapter Quiz 749(1)
Congruent and Similar Solids 750(8)
Coordinates in Space 758(16)
Study Guide and Review 765(4)
Practice Test 769(1)
Standardized Test Practice 770(4)
Student Handbook
Built-in Workbooks
Prerequisite Skills 774(26)
Extra Practice 800(28)
Mixed Problem Solving 828(13)
Preparing for Standardized Tests 841
Reference
Postulates, Theorems, and Corollaries 1(8)
English-Spanish Glossary 9(25)
Selected Answers 34(49)
Photo Credits 83(2)
Index 85