1. Line and Angle Relations

1.1 Sets, statements and reasoning
1.2 Informal geometry and measurement
1.3 Early definitions and postulates
1.4 Angles and their relationships
1.5 Introduction to geometric proof
1.6 Relationships: perpendicular lines
1.7 The formal proof of a theorem

2. Parallel Lines

2.1 The parallel postulate and special angles
2.2 Indirect proof
2.3 Proving lines parallel
2.4 The angles of a triangle
2.5 Convex polygons
2.6 Symmetry and transformations

3. Triangles

3.1 Congruent triangles
3.2 Corresponding parts of congruent triangles
3.3 Isosceles triangles
3.4 Basic constructions justified
3.5 Inequalities in a triangle

4. Quadrilaterals

4.1 Properties of a parallelogram
4.2 The parallelogram and kite
4.3 The rectangle, square, and rhombus
4.4 The trapezoid

5. Similar Triangles

5.1 Ratios, Rates, and Proportions
5.2 Similar Polygons
5.3 Proving Triangles Similar
5.4 The Pythagorean Theorem
5.5 Special Right Triangles
5.6 Segments Divided Proportionately

6. Circles

6.1 Circles and Related Segments and Angles
6.2 More Angle Relationships in the Circle
6.3 Line and Segment Relationships in the Circle
6.4 Some Constructions and Inequalities for the Circle
6.5 Locus of Points
6.6 Concurrence of Lines

7. Areas of Polygons and Circles

7.1 Area and initial postulates
7.2 Perimeter and area of polygons
7.3 Regular polygons and area
7.4 Circumference and area of a circle
7.5 More area relationships in the circle

8. Surfaces and Solids

8.1 Prisms, area, and volume
8.2 Pyramids, area, and volume
8.3 Cylinders and cones
8.4 Polyhedrons and spheres

9. Analytic Geometry

9.1 The Rectangular Coordinate System
9.2 Graphs of Linear Equations and Slope
9.3 Preparing to do Analytic Proofs
9.4 Analytic Proofs
9.5 Equations of Lines

10. Introduction to Trigonometry

10.1 The Sine Ratio and Applications
10.2 The Cosine Ratio and Applications
10.3 The Tangent Ratio and Other Ratios
10.4 Applications to Acute Triangles