Table of Contents -- Introduction -- Chapter 1: The Language of Geometry, Deductive Reasoning and Proofs, and Key Axioms and Postulates -- 1.1 The Language of Geometry -- 1.2 Deductive Reasoning -- 1.3 Theorems and How to Write a Proof -- 1.4 Key Axioms and Postulates -- 1.5 Chapter 1 Summary and Highlights -- Chapter 2: Points, Lines, Planes, and Angles -- 2.1 Points, Lines, and Planes -- 2.2 Line Segments and Distance -- 2.3 Parallel Lines -- 2.4 Perpendicular Lines -- 2.5 Distances and Bisectors -- 2.6 Rays and Angles -- 2.7 Chapter 2 Summary and Highlights -- Chapter 3: Ratios and Proportions -- 3.1 Ratios and Proportions -- 3.2 Proportional Segments -- 3.3 Chapter 3 Summary and Highlights -- Chapter 4: Triangles, Congruence, and Similarity -- 4.1 Triangle Definitions, Interior Angle Sum, and Exterior Angles -- 4.2 Types of Triangles -- 4.3 Parts of Triangles, Altitude, Bisector, Median, and Ceva's Theorem -- 4.4 Inequalities and Triangles -- 4.5 Congruent Triangles -- 4.6 Similar Triangles: Congruent Angles and Sides in Proportion -- 4.7 Similar Right Triangles -- 4.8 Right Triangles: Pythagorean Theorem and 30°:60°:90° and 45°:45°:90° Triangles -- 4.9 Triangles and Trigonometric Functions -- 4.10 Area of a Triangle -- 4.11 Chapter 4 Summary and Highlights -- Chapter 5: Polygons and Quadrilaterals -- 5.1 Polygons -- 5.2 Sum of the Interior and Exterior Angles in a Polygon -- 5.3 Regular Polygons and Their Interior and Exterior Angle Measures -- 5.4 Quadrilaterals -- 5.5 Parallelograms -- 5.6 Special Parallelograms: Rectangles, Rhombuses, and Squares -- 5.7 Trapezoids -- 5.8 Area and Perimeter of Squares, Rectangles, Parallelograms, Rhombuses, Trapezoids, Other Polygons, and Regular Polygons -- 5.9 Congruence, Area, and Similarity -- 5.10 Chapter 5 Summary and Highlights -- Chapter 6: Circles -- 6.1 Circles: Definitions.

6.2 Arcs, Central Angles, and Inscribed Angles -- 6.3 Chords, Arcs, and Angles -- 6.4 Secants, Angles, Arcs, and Segments -- 6.5 Tangents -- 6.6 Circumference and Area of Circles and Sectors -- 6.7 Circumscribed and Inscribed Polygons -- 6.8 Chapter 6 Summary and Highlights -- Chapter 7: Geometric Solids: Surface Area and Volume of Three-Dimensional Objects -- 7.1 Solids -- 7.2 Prisms: Cubes, Rectangular Solids, and Oblique and Right Prisms -- 7.3 Pyramids -- 7.4 Cylinders -- 7.5 Cones -- 7.6 Spheres -- 7.7 Similar Solids -- 7.8 Cavalieri's Principle -- 7.9 Chapter 7 Summary and Highlights -- Chapter 8: Constructions and Loci -- 8.1 Introduction -- 8.2 Constructions Involving Lines and Angles -- 8.3 Constructions Involving Triangles -- 8.4 Constructions Involving Circles and Polygons -- 8.5 Construction Involving Area -- 8.6 Locus of Points -- 8.7 Chapter 8 Summary and Highlights -- Chapter 9: Coordinate or Analytic Geometry -- 9.1 Rectangular Coordinate Systems: Definitions -- 9.2 Distance Between Points -- 9.3 Midpoint Formula -- 9.4 Slope of a Line Including Parallel and Perpendicular Lines -- 9.5 Defining Linear Equations -- 9.6 Graphing Linear Equations -- 9.7 Chapter 9 Summary and Highlights -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- X -- Y.