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| Note: Each chapter concludes with a Summary and Review Exercises | |
| Line and Angle Relationships | |
| Statements and Reasoning | |
| Informal Geometry and Measurement | |
| Early Definitions and Postulates | |
| Angles and Their Relationships | |
| Introduction to Geometric Proof | |
| Relationships: Perpendicular Lines | |
| The Formal Proof of a Theorem A Look Beyond: Historical Sketch of Euclid | |
| Parallel Lines | |
| The Parallel Postulate and Special Angles | |
| Indirect Proof | |
| Proving Lines Parallel | |
| The Angles of a Triangle | |
| Convex Polygons A Look Beyond: Non-Euclidean Geometries | |
| Triangles | |
| Congruent Triangles | |
| Corresponding Parts of Congruent Triangles | |
| Isosceles Triangles | |
| Basic Constructions Justified | |
| Inequalities in a Triangle A Look Beyond: Historical Sketch of Archimedes | |
| Quadrilaterals | |
| Properties of a Parallelogram | |
| The Parallelogram and Kite | |
| The Rectangle, Square, and Rhombus | |
| The Trapezoid A Look Beyond: Historical Sketch of Thales | |
| Similar Triangles | |
| Ratios, Rates, and Proportions | |
| Similar Triangles and Polygons | |
| The Pythagorean Theorem | |
| Special Right Triangles | |
| Segments Divided Proportionally A Look Beyond: An Unusual Application of Similar Triangles | |
| Circles | |
| Circles and Related Segments and Angles | |
| More Angle Measures in The Circle | |
| Line and Segment Relationships in the Circle | |
| Constructions and Inequalities for the Circle | |
| Locus of Points | |
| Concurrency of Lines A Look Beyond: History of Pi | |
| Areas of Polygons and Circles | |
| Area and Initial Postulates | |
| Perimeter and Area of Polygons | |
| Regular Polygons and Area | |
| Circumference and Area of a Circle | |
| More Area Relationships in the Circle A Look Beyond: Another Look at the Pythagorean Theorem | |
| Surfaces and Solids | |
| Prisms, Area, and Volume | |
| Pyramids, Area, and Volume | |
| Cylinders and Cones | |
| Polyhedrons and Spheres A Look Beyond: Historical Sketch of Reneacute; Descartes | |
| Analytic Geometry | |
| The Rectangular Coordinate System | |
| Graphs of Linear Equations and Slope | |
| Preparing to Do Analytic Proofs | |
| Analytic Proofs | |
| Equations of Lines A Look Beyond: The Banach-Tarski Paradox | |
| Introduction to Trigonometry | |
| The Sine Ratio and Applications | |
| The Cosine Ratio and Applications | |
| The Tangent Ratio and Other Ratios | |
| More Trigonometric Relationships A Look Beyond: Radian Measure of Angles | |
| Appendix A | |
| Appendix B | |
| Appendix C | |
| Table of Contents provided by Publisher. All Rights Reserved. |
