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Table of Contents Lines and Angles 2 Chapter Points, Lines, Planes, and Angles 4 1-1 Points, Lines, and Planes..................................................6 1-2 Linear Measure and Precision.......................................13 Practice Quiz 1: Lessons 1-1 and 1-2............................19 • Introduction 3 Geometry Activity: Probability and •Follow-Ups 23, 65, 155 Segment Measure........................................................20 • Culmination 164 1-3 Distance and Midpoints.................................................21 Geometry Activity: Modeling the Pythagorean Theorem.................................................28 1-4 Angle Measure.................................................................29 Practice Quiz 2: Lessons 1-3 and 1-4............................36 1-5 Angle Relationships........................................................37 Geometry Activity: Constructing Perpendiculars .....44 1-6 Polygons............................................................................45 Geometry Software Investigation: Measuring Polygons...................................................51 Study Guide and Review..............................................53 Practice Test.....................................................................57 Standardized Test Practice...........................................58 Lesson 1-5, p. 37 Prerequisite Skills Standardized Test Practice • Getting Started 5 • Multiple Choice 11, 19, 23, 25, 27, 35, 43, 50, 57, 58 • Getting Ready for the Next Lesson 11, 19, 27, 36, 43 • Short Response/Grid In 43, 50, 59 • Extended Response 59 Study Organizer 5 Snapshots 16 Reading and Writing Mathematics • Describing What You See 12 Constructions 15,18,24,31,33,44 • Reading Math Tips 6, 29, 45, 46 •Writing in Math 11, 19, 27, 35, 43, 50 vii Jason Hawkes/CORBIS Unit 1 Unit 1 Chapter Reasoning and Proof 60 2-1 Inductive Reasoning and Conjecture...........................62 Prerequisite Skills 2-2 Logic..................................................................................67 • Getting Started 61 2-3 Conditional Statements..................................................75 • Getting Ready for the Next Lesson Practice Quiz 1: Lessons 2-1 through 2-3....................80 66, 74, 80, 87, 93, 100, 106 2-4 Deductive Reasoning......................................................82 Geometry Activity: Matrix Logic..................................88 2-5 Postulates and Paragraph Proofs..................................89 Study Organizer 61 2-6 Algebraic Proof................................................................94 Practice Quiz 2: Lessons 2-4 through 2-6..................100 Reading and Writing 2-7 Proving Segment Relationships..................................101 Mathematics • Biconditional Statements 81 2-8 Proving Angle Relationships.......................................107 • Reading Math Tips 75 Study Guide and Review............................................115 •Writing in Math 66, 74, 79, 86, 93, Practice Test..................................................................121 99, 106, 114 Standardized Test Practice........................................122 Standardized Test Practice • Multiple Choice 66, 74, 80, 86, 87, 93, 96, 97, 99, 106, 114, 121, 122 • Short Response/Grid In 106, 123 • Extended Response 123 Lesson 2-3, p. 79 Snapshots 63 viii Galen Rowell/CORBIS Unit 1 Unit 1 Chapter Parallel and Perpendicular Lines 124 3-1 Parallel Lines and Transversals...................................126 Geometry Software Investigation: Angles and Parallel Lines........................................132 3-2 Angles and Parallel Lines............................................133 Practice Quiz 1: Lessons 3-1 and 3-2 .........................138 3-3 Slopes of Lines...............................................................139 3-4 Equations of Lines.........................................................145 Practice Quiz 2: Lessons 3-3 and 3-4 .........................150 3-5 Proving Lines Parallel...................................................151 Graphing Calculator Investigation: Points of Intersection................................................158 3-6 Perpendiculars and Distance.......................................159 Geometry Activity: Non-Euclidean Geometry.........165 Study Guide and Review............................................167 Practice Test..................................................................171 Standardized Test Practice........................................172 Lesson 3-6, p. 163 Prerequisite Skills Standardized Test Practice • Getting Started 125 • Multiple Choice 131, 138, 144, 149, 157, 164, 171, 172 • Getting Ready for the Next Lesson 131, 138, 144, • Short Response/Grid In 131, 135, 136, 164, 173 150, 157 • Extended Response 173 Study Organizer 125 Snapshots 143 Reading and Writing Mathematics Constructions 151,160 •Writing in Math 130, 138, 144, 149, 157, 164 ix Lonnie Duka/Index Stock Imagery/PictureQuest Triangles 174 Chapter Congruent Triangles 176 4-1 Classifying Triangles.....................................................178 Geometry Activity:Angles of Triangles....................184 4-2 Angles of Triangles .......................................................185 • Introduction 175 4-3 Congruent Triangles.....................................................192 •Follow-Ups 218, 241, 325, 347 Practice Quiz 1: Lessons 4-1 through 4-3..................198 • Culmination 390 4-4 Proving Congruence—SSS, SAS.................................200 4-5 Proving Congruence—ASA, AAS...............................207 Geometry Activity: Congruence in Right Triangles...........................................................214 4-6 Isosceles Triangles.........................................................216 Practice Quiz 2: Lessons 4-4 through 4-6..................221 4-7 Triangles and Coordinate Proof .................................222 Study Guide and Review............................................227 Practice Test..................................................................231 Standardized Test Practice........................................232 Lesson 4-4, p. 204 Prerequisite Skills Standardized Test Practice • Getting Started 177 • Multiple Choice 183, 191, 198, 206, 213, 217, 219, • Getting Ready for the Next Lesson 183, 191, 198, 206, 221, 226, 231, 232 213, 221 • Short Response/Grid In 233 • Extended Response 233 Study Organizer 177 Snapshots 206 Reading and Writing Mathematics • Making Concept Maps 199 Constructions 200,202,207,214 • Reading Math Tips 186, 207 •Writing in Math 183, 191, 198, 205, 213, 221, 226 x Elaine Thompson/AP/Wide World Photos
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