The Essential Guide to GEOMETRY

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 Trapezoid 130
7.2 Parallelogram, Rhombus, Rectangle and Square 133

Topic 8 Polygons 149
8.1 Introduction to Polygon 150
8.2 Angle Chasing 151
8.3 Area of Polygon (Hexagon or Octagon) 153
8.4 Diagonals of Polygons 156

Topic 9 Circles 163
9.1 Terminology 164
9.2 Arcs, Angles and Chords 165

Topic 10 Transformation 183
10.1 Translation and Rotation 184
10.2 Reflection and Dilation 187

Topic 11 Solid Figures 197
11.1 Polyhedron and Solids of Revolution 198
11.2 Surface Area 202
11.3 Volume 206

Topic 12 Trigonometric Ratio 215
12.1 Basic Ratio 216

Solution to 120 Walk-Through Exercises 225