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• Note: Each chapter concludes with a Summary and Review Exercises
• 1 Line and Angle Relationships
• 1.1 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 A Look Beyond: Historical Sketch of Euclid
• 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 A Look Beyond: Non-Euclidean Geometries
• 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 A Look Beyond: Historical Sketch of Archimedes
• 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 A Look Beyond: Historical Sketch of Thales
• 5 Similar Triangles
• 5.1 Ratios, Rates, and Proportions
• 5.2 Similar Triangles and Polygons
• 5.3 The Pythagorean Theorem
• 5.4 Special Right Triangles
• 5.5 Segments Divided Proportionally A Look Beyond: An Unusual Application of Similar Triangles
• 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 Constructions and Inequalities for the Circle
• 6.5 Locus of Points
• 6.6 Concurrency of Lines A Look Beyond: History of Pi
• 7 Areas of Polygons and Circles
• 7.1 Area and Initial Postulates
• 7.2 Perimeter and Area of Polygons
• 7.3 Regular Polygons and Area
• 7.4 Circumference and Area of a Circle
• 7.5 More Area Relationships in the Circle A Look Beyond: Another Look at the Pythagorean Theorem
• 8 Surfaces and Solids
• 8.1 Prisms, Area, and Volume
• 8.2 Pyramids, Area, and Volume
• 8.3 Cylinders and Cones
• 8.4 Polyhedrons and Spheres A Look Beyond: Historical Sketch of Reneacute; Descartes
• 9 Analytic Geometry
• 9.1 The Rectangular Coordinate System
• 9.2 Graphs of Linear Equations and Slope
• 9.3 Preparing to Do Analytic Proofs
• 9.4 Analytic Proofs
• 9.5 Equations of Lines A Look Beyond: The Banach-Tarski Paradox
• 10 Introduction to Trigonometry
• 10.1 The Sine Ratio and Applications
• 10.2 The Cosine Ratio and Applications
• 10.3 The Tangent Ratio and Other Ratios
• 10.4 More Trigonometric Relationships A Look Beyond: Radian Measure of Angles
• Appendix A
• Appendix B
• Appendix C