Lines, angles, and triangles
Methods of proof
Congruent triangles
Parallel lines, distances, and angle sums
Parallelograms, trapezoids, medians, and midpoints
Circles
Similarity
Trigonometry
Areas
Regular polygons and the circle
Locus
Analytic geometry
Inequalities and indirect reasoning
Improvement of reasoning
Constructions
Proofs of important theorems
Extending plane geometry into solid geometry
Transformations
Non-Euclidean geometry
Formulas for reference
Answers to supplementary problems.