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Table of Contents
(A Review and a Test conclude each chapter.)
1. Foundations of Geometry.
Points, Lines, and Planes.
Segments, Rays, and Angles.
2. Introduction to Proof.
Proofs Involving Lines and Angles.
Constructions Involving Lines and Angles.
Proofs Involving Congruence.
Isosceles Triangles, Medians, and Altitudes.
Constructions Involving Triangles.
4. Parallel Lines and Polygons.
Transversals and Angles.
Polygons and Angles.
Parallelograms and Rhombuses.
Rectangles, Squares, and Trapezoids.
Areas of Polygons.
5. Ratio, Proportion, and Similarity.
More Theorems on Similar Triangles.
6. Right Triangles and the Pythagorean Theorem.
Properties of Right Triangles.
The Pythagorean Theorem.
Chords and Secants.
Circles and Regular Polygons.
Sectors, Arc Length, and Area.
Inequalities Involving Circles.
9. Solid Geometry.
Prisms and Pyramids.
Cylinders and Cones.
Spheres and Composite Features.
10. Geometric Loci.
Triangle Concurrency Theorems.
11. Introduction to Analytic Geometry.
Slope, Distance, and Midpoint Formulas.
Proofs Involving Polygons.
12. Triangle Trigonometry.
Solving Right Triangles.
Applications Involving Right Triangles.
Postulates of Geometry.
Theorems and Corollaries of Geometry.
Constructions in Geometry.