Table of Contents
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Introduction|vii
Chapter 1 Intro and Vocab 1
Introductory vocabulary 2
Angles 6
Parallel and perpendicular lines 9
Intro to area and perimeter 14
Chapter 2 Properties of Triangles 21
Types of triangles 23
Perimeter and area 25
Bisectors, altitudes, mIdsegments, and medians 26
Different "centers" of a triangle 28
Other triangle properties 31
Chapter 3 Properties of Quadrilaterals and other Polygons 37
Polygons 38
Quadrilaterals 43
Other properties of polygons 51
Chapter 4 Properties of Circles 53
Area and circumference 56
Chords, secants, and tangents 61
Arcs and sectors 64
Inscribed angles and intercepted arcs 67
Slices of PI 69
Radians 73
Incircle and circumcircle 76
Chapter 5 Congruence and Similarity 79
Triangle congruence rules 81
Similarity 85
Triangle similarity rules 86
Chapter 6 Constructions 91
Constructing lines and angles 92
Constructing polygons 109
Circumcenter/circumcircle 119
Incenter/incircle 125
The centroid and orthocenter 132
Circumcenter of a quadrilateral 134
Incenter of a quadrilateral 138
Chapter 7 Connecting Algebra and Geometry 143
Algebra and the coordinate plane 144
Distance and midpoint 152
Parabolas 157
Chapter 8 Transformations 169
Intro to transformations 170
Translation 171
Reflection 178
Rotation 182
Symmetry 186
Dilations 191
Dilations in the coordinate plane 199
Chapter 9 Trigonometry 203
Trigonometric ratios 204
Complementary angles 209
Trigonometry with non-right triangles 218
Chapter 10 Three-Dimensional Figures 223
Intro to three-dimensional figures 224
Volume and surface area 233
Chapter 11 Reasoning and Proofs 245
Inductive and deductive reasoning 246
Conditional statements 249
Proofs 253
