Table of Contents
Chapter 1 – LINE AND ANGLE RELATIONSHIPS
- 1.1 Sets, Statements and Reasoning
- 1.2 Informal Geometry and Measurement
- 1.3 Early Definitions and Postulates
- 1.4 Angles and Their Relationships
- 1.5 Introduction to Geometric Proof
- 1.6 Relationships: Perpendicular Lines
- 1.7 The Formal Proof of a Theorem
Chapter 2 – PARALLEL LINES
- 2.1 The Parallel Postulate and Special Angles
- 2.2 Indirect Proof
- 2.3 Proving Lines Parallel
- 2.4 The Angles of a Triangle
- 2.5 Convex Polygons
- 2.6 Symmetry and Transformations
Chapter 3 – TRIANGLES
- 3.1 Congruent Triangles
- 3.2 Corresponding Parts of Congruent Triangles
- 3.3 Isosceles Triangles
- 3.4 Basic Constructions Justified
- 3.5 Inequalities in a Triangle
Chapter 4 – QUADRILATERALS
- 4.1 Properties of a Parallelogram
- 4.2 The Parallelogram and Kite
- 4.3 The Rectangle, Square, and Rhombus
- 4.4 The Trapezoid
Chapter 5 – SIMILAR TRIANGLES
- 5.1 Ratios, Rates, and Proportions
- 5.2 Similar Polygons
- 5.3 Proving Triangles Similar
- 5.4 The Pythagorean Theorem
- 5.5 Special Right Triangles
- 5.6 Segments Divided Proportionately
Chapter 6 – CIRCLES
- 6.1 Circles and Related Segments and Angles
- 6.2 More Angle Measures in the Circle
- 6.3 Line and Segment Relationships in the Circle
- 6.4 Some Constructions and Inequalities for the Circle
Chapter 7 – LOCUS AND CONCURRENCE
- 7.1 Locus of Points
- 7.2 Concurrence of Lines
- 7.3 More About Regular Polygons
Chapter 8 – AREAS OF POLYGONS AND CIRCLES
- 8.1 Area and Initial Postulates
- 8.2 Perimeter and Area of Polygons
- 8.3 Regular Polygons and Area
- 8.4 Circumference and Area of a Circle
- 8.5 More Area Relationships in the Circle
Chapter 9 – SURFACES AND SOLIDS
- 9.1 Prisms, Area, and Volume
- 9.2 Pyramids, Area, and Volume
- 9.3 Cylinders and Cones
- 9.4 Polyhedrons and Spheres
Chapter 10 – ANALYTIC GEOMETRY
- 10.1 The Rectangular Coordinate System
- 10.2 Graphs of Linear Equations and Slope
- 10.3 Preparing to do Analytic Proofs
- 10.4 Analytic Proofs
- 10.5 Equations of Lines
Chapter 11 – INTRODUCTION TO TRIGONOMETRY
- 11.1 The Sine Ratio and Applications
- 11.2 The Cosine Ratio and Applications
- 11.3 The Tangent Ratio and Other Ratios
- 11.4 Applications with Acute Triangles
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