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Pretest. Chapter 1: Basic Geometric Ideas. Naming Basic Forms. Postulates and Theorems. Finding Segments, Midpoints, and Rays. Angles and Angle Pairs. Special Angle Pairs. Special Lines and Segments. Chapter 2: Parallel Lines. Angles Created by Lines and a Transversal. Proving Lines Parallel. Chapter 3: Triangles. Sum of Angle Measure. Exterior Angles. Classifying Triangles by Angles. Classifying Triangles by Sides. Specially Named Sides and Angles. Segments Inside and Outside Triangles. Congruent Triangles. Isosceles Triangles. Triangle Inequality Theorems. Chapter 4: Polygons. Types of Polygons. Angle Sums. Quadrilaterals. Proofs of Parallelograms. Special Parallelograms. Special Trapezoids. The Midpoint Theorem. Chapter 5: Perimeter and Area. Squares and Rectangles. Triangles. Parallelograms. Trapezoids. Regular Polygons. Circles. Chapter 6: Similar Figures. Ratio and Proportion. Properties of Proportions. Similar Polygons. Similar Triangles. Proportional Parts of Triangles. Proportional Parts of Similar Triangles. Perimeter and Areas of Similar Triangles. Chapter 7: Right Triangles. Geometric Mean. Altitude to the Hypotenuse. The Pythagorean Theorem. Pythagorean Triples. Outgrowths of the Pythagorean Theorem. Special Right Triangles. Chapter 8: Circles. Parts of a Circle. Central Angles and Arcs. Some Common Sense Stuff. Arcs and Inscribed Angles. Angles Formed by Chords, Secants, and Tangents. Arcs and Chords. Segments of Chords, Secants, and Tangents. Arc Lengths and Sectors. Chapter 9: Solid Geometry. Prisms. Right Circular Cylinders. Pyramids. Right Circular Cones. Spheres. Chapter 10: Coordinate Geometry. Locating Points on Coordinate Axes. The Distance Formula. The Midpoint Formula. Slope of a Line. Slopes of Parallel and Perpendicular Lines. Equations of Lines. Customized Full-Length Exam. Appendix: Postulates and Theorems. Index.
David Alan Herzog is the author of numerous books and software programs concerned with test preparation in mathematics and science.