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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
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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
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Elaine Thompson/AP/Wide World Photos
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