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Geometry, Grade 10

by Holt Mcdougal; Boswell, Laurie; Stiff, Lee

ISBN13: 9780395937778
ISBN10: 0395937779
Additional ISBN(s): 9780618595402
Edition: 10th
Format: Hardcover
Copyright: 2000-02-03
Publisher: MCDOUG-LITTELL
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1. Geometry, Grade 10 > ISBN13: 9780395937778

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Summary

The theorems and principles of basic geometry are clearly presented in this workbook, along with examples and exercises for practice. All concepts are explained in an easy-to-understand fashion to help students grasp geometry and form a solid foundation for advanced learning in mathematics. Each page introduces a new concept, along with a puzzle or riddle which reveals a fun fact. Thought-provoking exercises encourage students to enjoy working the pages while gaining valuable practice in geometry.

Basics of Geometry

Chapter Study Guide

(1)

Patterns and Inductive Reasoning

(7)

Points, Lines, and Planes

(7)

Segments and Their Measures

(9)

Quiz 1

(1)

Angles and Their Measures

(8)

Segment and Angle Bisectors

(10)

Concept Activity: Folding Bisectors

(9)

Quiz 2

(2)

Angle Pair Relationships

(7)

Technology Activity: Angles and Intersecting Lines

(8)

Introduction to Perimeter, Circumference, and Area

(20)

Quiz 3

(12)

Reasoning and Proof

Chapter Study Guide

(1)

Conditional Statements

(8)

Definitions and Biconditional Statements

(8)

Deductive Reasoning

(9)

Concept Activity: Logic Puzzle

(9)

Quiz 1

(1)

Reasoning with Properties from Algebra

(6)

Proving Statements about Segments

102

(7)

Proving Statements about Angles

109

(20)

Concept Activity: Investigating Complementary Angles

108

(8)

Quiz 2

116

(12)

Perpendicular and Parallel Lines

Chapter Study Guide

128

(1)

Lines and Angles

129

(7)

Proof and Perpendicular Lines

136

(7)

Concept Activity: Forming a Flow Proof

135

(8)

Parallel Lines and Transversals

143

(7)

Technology Activity: Parallel Lines and Angles

142

(7)

Quiz 1

149

(1)

Proving Lines are Parallel

150

(7)

Using Properties of Parallel Lines

157

(8)

Quiz 2

164

(1)

Parallel Lines in the Coordinate Plane

165

(7)

Perpendicular Lines in the Coordinate Plane

172

(22)

Quiz 3

178

(14)

Congruent Triangles

Chapter Study Guide

192

(2)

Triangles and Angles

194

(8)

Concept Activity: Investigating Angles of Triangles

193

(9)

Congruence and Triangles

202

(10)

Quiz 1

210

(2)

Proving Triangles are Congruent: SSS and SAS

212

(8)

Concept Activity: Investigating Congruent Triangles

211

(9)

Proving Triangles are Congruent: ASA and AAS

220

(9)

Quiz 2

227

(1)

Technology Activity: Investigating Triangles and Congruence

228

(1)

Using Congruent Triangles

229

(7)

Isosceles, Equilateral, and Right Triangles

236

(7)

Triangles and Coordinate Proof

243

(21)

Quiz 3

250

(12)

Properties of Triangles

Chapter Study Guide

262

(2)

Perpendiculars and Bisectors

264

(8)

Concept Activity: Investigating Perpendicular Bisectors

263

(9)

Bisectors of a Triangle

272

(7)

Medians and Altitudes of a Triangle

279

(8)

Quiz 1

285

(1)

Technology Activity: Investigating Concurrent Lines

286

(1)

Midsegment Theorem

287

(8)

Inequalities in One Triangle

295

(7)

Technology Activity: Side Lengths and Angle Measures

294

(8)

Indirect Proof and Inequalities in Two Triangles

302

(20)

Quiz 2

308

(12)

Quadrilaterals

Chapter Study Guide

320

(2)

Polygons

322

(8)

Concept Activity: Classifying Shapes

321

(9)

Properties of Parallelograms

330

(8)

Technology Activity: Investigating Parallelograms

329

(9)

Proving Quadrilaterals are Parallelograms

338

(9)

Quiz 1

346

(1)

Rhombuses, Rectangles, and Squares

347

(9)

Trapezoids and Kites

356

(8)

Quiz 2

363

(1)

Special Quadrilaterals

364

(8)

Areas of Triangles and Quadrilaterals

372

(24)

Concept Activity: Areas of Quadrilaterals

371

(9)

Quiz 3

380

(14)

Transformations

Chapter Study Guide

394

(2)

Rigid Motion in a Plane

396

(8)

Concept Activity: Motion in a Plane

395

(9)

Reflections

404

(8)

Concept Activity: Reflections in the Plane

403

(9)

Rotations

412

(9)

Technology Activity: Investigating Double Reflections

411

(9)

Quiz 1

420

(1)

Translations and Vectors

421

(9)

Glide Reflections and Compositions

430

(7)

Concept Activity: Multiple Transformations

429

(8)

Frieze Patterns

437

(20)

Quiz 2

444

(12)

Similarity

Chapter Study Guide

456

(1)

Ratio and Proportion

457

(8)

Problem Solving in Geometry with Proportions

465

(8)

Similar Polygons

473

(7)

Concept Activity: Making Conjectures about Similarity

472

(7)

Quiz 1

479

(1)

Similar Triangles

480

(8)

Proving Triangles are Similar

488

(10)

Quiz 2

496

(2)

Proportions and Similar Triangles

498

(8)

Technology Activity: Investigating Proportional Segments

497

(9)

Dilations

506

(21)

Quiz 3

513

(1)

Technology Activity: Exploring Dilations

514

(12)

Right Triangles and Trigonometry

Chapter Study Guide

526

(1)

Similar Right Triangles

527

(8)

The Pythagorean Theorem

535

(8)

The Converse of the Pythagorean Theorem

543

(8)

Technology Activity: Investigating Sides and Angles of Triangles

542

(7)

Quiz 1

549

(2)

Special Right Triangles

551

(7)

Concept Activity: Investigating Special Right Triangles

550

(8)

Trigonometric Ratios

558

(9)

Quiz 2

566

(1)

Solving Right Triangles

567

(6)

Vectors

573

(22)

Quiz 3

580

(14)

Circles

Chapter Study Guide

594

(1)

Tangents to Circles

595

(8)

Arcs and Chords

603

(10)

Inscribed Angles

613

(8)

Concept Activity: Investigating Inscribed Angles

612

(8)

Quiz 1

620

(1)

Other Angle Relationships in Circles

621

(8)

Segment Lengths in Circles

629

(7)

Technology Activity: Investigating Segment Lengths

628

(7)

Quiz 2

635

(1)

Equations of Circles

636

(6)

Locus

642

(19)

Technology Activity: Investigating Points Equidistant from a Point and a Line

641

(7)

Quiz 3

648

(12)

Area of Polygons and Circles

Chapter Study Guide

660

(1)

Angle Measures in Polygons

661

(8)

Areas of Regular Polygons

669

(8)

Perimeters and Areas of Similar Figures

677

(6)

Concept Activity: Area Relationships in Similar Figures

676

(6)

Quiz 1

682

(1)

Circumference and Arc Length

683

(8)

Technology Activity: Perimeters of Regular Polygons

690

(1)

Areas of Circles and Sectors

691

(8)

Geometric Probability

699

(20)

Quiz 2

705

(1)

Technology Activity: Investigating Experimental Probability

706

(12)

Surface Area and Volume

Chapter Study Guide

718

(1)

Exploring Solids

719

(9)

Surface Area of Prisms and Cylinders

728

(7)

Concept Activity: Investigating Surface Area

727

(8)

Surface Area of Pyramids and Cones

735

(8)

Quiz 1

742

(1)

Volume of Prisms and Cylinders

743

(9)

Technology Activity: Minimizing Surface Area

750

(2)

Volume of Pyramids and Cones

752

(7)

Concept Activity: Investigating Volume

751

(7)

Quiz 2

758

(1)

Surface Area and Volume of Spheres

759

(7)

Similar Solids

766

(17)

Quiz 3

772

(11)

Student Resources

Skills Review Handbook

783

(20)

Extra Practice for Chapters 1-12

803

(24)

Postulates and Theorems

827

(6)

Additional Proofs

833

(8)

Symbols, Formulas, and Tables

841

(5)

Glossary

846

(12)

Index

858

Selected Answers

SA1

Supplemental Materials

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Geometry, Grade 10

Summary

Table of Contents

Supplemental Materials

Rewards Program