Preface 4
저자 소개 5
이 책의 특징 6
Topic 1 Basic Elements of Geometry 11
1.1 Points, Lines, and Planes 12
1.2 Line, Segment, and Ray 15
1.3 Coordinate Plane 18
1.4 Angle and Its Measure 21
1.5 Relationship between Geometric Objects 25
Topic 2 Mathematical Reasoning 39
2.1 Induction and Deduction 40
2.2 Algebraic Proof and Geometric Proof 45
2.3 Basic Postulates for Segments and Angles 46
Topic 3 Parallel and Perpendicular Lines 59
3.1 Parallel Lines and Transversal 60
3.2 Distance Formula Revisited 63
Topic 4 Congruent Triangles 75
4.1 Basic Classification of Triangles 76
4.2 Congruent Triangles 78
4.3 Congruence Postulates 80
4.4 Finding Congruent Triangles in Isosceles Triangle 81
Topic 5 Triangle Properties 95
5.1 Angle Bisector Theorem 96
5.2 Points of Concurrency 98
5.3 Properties of Right Triangle 101
5.4 Triangular Inequality 102
Topic 6 Similar Triangles 115
6.1 Similar Triangles 116
Topic 7 Quadrilateral 129
7.1 Quadrilateral and Trapezo