CONTENTS
Introduction
Chapter One: A Painless Beginning
Undefined Terms
Some Defined Terms
More Defined Terms
Postulates
Theorems
Conditional Statements
Geometric Proofs
Geometric Symbols
Chapter Two: Angles
Measuring Angles
Angle Addition
Classifying Angles
Angle Pairs
Angle Congruence
Word Problems
Chapter Three: Parallel and Perpendicular Lines
Vertical Angles
Perpendicular Lines
Parallel Lines
More on Parallel Lines
Chapter Four: Triangles
Interior Angles
Exterior Angles
Types of Triangles
More Types of Triangles
Perimeter of a Triangle
Area of a Triangle
The Pythagorean Theorem
Pythagorean Triples
30-60-90-Degree Triangles
45-45-90-Degree Triangles
Chapter Five: Similar and Congruent Triangles
Triangle Parts
Triangle Midpoints
Similar Triangles
Right Triangle Proportions Theorem
Congruent Triangles
Chapter Six: Quadrilaterals
Trapezoids
Isosceles Trapezoids
Parallelograms
Rhombuses
Rectangles
Squares
Chapter Seven: Polygons
Regular and Irregular Polygons
Convex and Concave Polygons
Sides and Angles of Polygons
Exterior Angles of Polygons
Inscribed and Circumscribed Polygons
Chapter Eight: Circles
Radius and Diameter
Regions of a Circle
Pi
Circumference
Area of a Circle
Degrees in a Circle
Chords, Tangents, and Secants
Arcs
Measuring Arcs
Angles and Circles
Chapter Nine: Perimeter, Area, and Volume
It’s a Matter of Units
Triangles
Rectangles
Squares
Parallelograms
Trapezoids
Rhombuses
Regular Polygons
Unusual Shapes
Volume
Rectangular Solids
Cubes
Cylinders
Cones
Spheres
Chapter Ten: Graphing
Graphing Points
Quadrants
The Midpoint Formula
The Distance Formula
Graphing a Line by Plotting Points
Graphing Horizontal and Vertical Lines
The Slope
Graphing Using Slope-Intercept
Finding the Equation of a Line
Two-Point Method
Point-Slope Form
Parallel and Perpendicular Lines
Chapter Eleven: Constructions
Constructing a Congruent Line Segment
Constructing Congruent Angles
Bisecting an Angle
Constructing an Equilateral Triangle
Constructing Parallel Lines
Constructing Perpendicular Lines
Inscribing a Square in a Circle
Appendix I: Glossary
Appendix II: Key Formulas