- 1. Basics of Geometry.
This chapter covers undefined terms, defined terms, basic postulates of points, lines and planes; distances on a coordinate grid; complementary and supplementary angles; vertical angles; linear pairs and classification of polygons.
- 2. Reasoning and Proof
This chapter covers inductive reasoning, deductive reasoning, conditional statements, properties of equality and two-column proofs.
- 3. Parallel and Perpendicular Lines.
This chapter covers the parallel line postulate, the perpendicular line postulate, and angles formed by two parallel lines and a non-perpendicular transversal.
- 4. Congruent Triangles.
This chapter covers the Triangle Sum theorem, triangle congruence, the SSS and ASA postulates, the AAS congruence theorem, two-column and flow proofs, the HL congruence theorem, AAA and SSA relationships, and isosceles and equilateral triangles.
- 5. Relationships Within Triangles
This chapter covers the midsegment theorem, the perpendicular bisector theorem, the angle bisector theorem, the concurrency of medians theorem, Napoleon's theorem, the triangle inequality theorem and SAS & SSS triangle inequality theorems.
- 6. Quadrilaterals
This chapter covers interior angles of convex quadrilaterals, classifying quadrilaterals, properties of parallelograms, properties of rhombi, rectangles and squares, biconditional statements and properties of trapezoids.
- 7. Similarity
This chapter covers ratio and proportion, properties of similar polygons, AAA & AA rules for similar triangles, using SSS & SAS to solve problems about similar triangles, identifying proportional segments in triangles and similarity transformations.
- 8. Right Triangle Trigonometry
This chapter covers using the Pythagorean theorem when working with right triangles, classification of triangles, the converse of the Pythagorean theorem, using the geometric mean, properties of special right triangles, and trigonometric ratios.
- 9. Circles
This chapter covers relationships between congruent and similar circles, the equation of a circle, tangent lines, arc measures, chords, inscribed angles, and angles formed by chords, secants and tangents.
- 10. Perimeter and Area
This chapter covers finding the area for specific types of polygons, using scale drawings or models, finding the circumference of a circle, areas of circles & sectors, calculating the areas & perimeters of regular polygons and geometric probability.
- 11. Surface Area and Volume
This chapter covers the surface area and volume of prisms, cylinders, pyramids and spheres.
- 12. Transformations
This chapter covers transformations of figures in two-dimensional space including translations, reflections, rotations and dilations.