-Angles and Triangles
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-Angles and Triangles
Preparing book pages
1
Entries
69
Basic Concepts
Theory
Page 10
Mathematical Reasoning
Theory
Page 10
The Basis of Geometric Argument
Theory
Page 12
Exercises 1.1
Problem
Page 30
Angles
Theory
Page 33
Definition
Theory
Page 33
Regions of an Angle
Theory
Page 34
Measure of an Angle
Theory
Page 35
Congruent Angles
Theory
Page 39
Angle Bisector
Theory
Page 42
Exercises 1.2
Problem
Page 45
Types of Angle
Theory
Page 48
Types of Angle According to Measure
Theory
Page 48
Pairs of Angles
Theory
Page 50
Parallel Lines
Theory
Page 58
Exercises 1.3
Problem
Page 68
Chapter Summary
Theory
Page 73
Concept Check
Test
Page 74
Chapter Review Test 1A
Test
Page 75
Chapter Review Test 1B
Test
Page 77
Chapter Review Test 1C
Test
Page 79
Basic Concepts
Theory
Page 82
The Triangle and Its Elements
Theory
Page 82
Types of Triangle
Theory
Page 97
Exercises 2.1
Problem
Page 106
Properties of a Triangle
Theory
Page 108
Relations Between Angles
Theory
Page 108
Relations Between Angles and Sides
Theory
Page 120
Exercises 2.2
Problem
Page 130
Congruence
Theory
Page 135
The Concept of Congruence
Theory
Page 135
Working with Congruent Triangles
Theory
Page 148
Isosceles, Equilateral and Right Triangles
Theory
Page 164
The Triangle Angle Bisector Theorem
Theory
Page 184
Computational Geometry
Theory
Page 188
Exercises 2.3
Problem
Page 190
Chapter Summary
Theory
Page 202
Concept Check
Test
Page 204
Chapter Review Test 2A
Test
Page 205
Chapter Review Test 2B
Test
Page 207
Chapter Review Test 2C
Test
Page 209
Chapter Review Test 2D
Test
Page 211
Chapter Review Test 2E
Test
Page 213
The Concept of Similarity
Theory
Page 216
Introduction to Similarity
Theory
Page 216
Exercises 3.1
Problem
Page 221
The Angle-Angle Similarity Postulate
Theory
Page 222
The Angle-Angle (AA) Similarity Postulate
Theory
Page 222
Exercises 3.2
Problem
Page 228
Working with Similar Triangles
Theory
Page 231
The Side-Angle-Side (SAS) Similarity Theorem
Theory
Page 231
The Side-Side-Side Similarity Theorem
Theory
Page 233
The Triangle Proportionality Theorem and Thales' Theorem
Theory
Page 238
Further Applications
Theory
Page 243
Exercises 3.3
Problem
Page 246
Further Studies
Theory
Page 250
Euclidean Relations
Theory
Page 250
Median Relations
Theory
Page 253
Transformational Geometry
Theory
Page 257
Exercises 3.4
Problem
Page 259
Chapter Summary
Theory
Page 262
Concept Check
Test
Page 263
Chapter Review Test 3A
Test
Page 264
Chapter Review Test 3B
Test
Page 266
Chapter Review Test 3C
Test
Page 268
Chapter Review Test 3D
Test
Page 270
Answers to Exercises
Answer
Page 272
Answers to Tests
Answer
Page 276
Glossary
Other
Page 278
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