2

1.1

Logical Systems

2

1.2

Points, Lines, and Planes

2

1.3

Segments, Rays, and Angles

1

2.1

Direct Proofs

1

2.2

Proofs Involving Right Angles

2

2.3

Constructions Involving Lines and Angles

1

3.1

Classifying Triangles

1

3.2

Congruent Triangles

1

3.3

Proofs Involving Congruence

1

3.4

Isosceles Triangles, Medians,a nd Altitudes

3

3.5

Constructions Involving Triangles

1

4.1

Indirect Proof and the Parallel Postulate

1

4.2

Transversals and Angles

1

4.3

Polygons and Angles

1

4.4

Parallelograms and Rhombuses

1

4.5

Rectangles, Squares, and Trapezoids

1

4.6

Areas of Polygons

1

5.1

Ratio and Proportion

1

5.2

Similar Polygons

1

5.3

More Theorems on Similar Triangles

3

6.1

Review of Radicals and Quadratic Equations (Optional)

1

6.2

Properties of Right Triangles

1

6.3

The Pythagorean Theorem

1

7.1

Cirlces and Arcs

1

7.2

Chords and Secants

1

7.3

Tangents

1

7.4

Circles and Regular Polygons

1

7.5

Sectors, Arc Length, and Area

3

8.1

Inequalities Involving Triangles

3

8.2

Inequalities Involving Circles

3

9.1

Planes and the Polyhedron

3

9.2

Prisms and Pyramids

3

9.3

Cylinders and Cones

3

9.4

Spheres and Composite Figures

3

10.1

Locus and Basic Theorems

3

10.2

Triangle Concurrency Theorems

1

11.1

The Cartesian Coordinate System

1

11.2

Slope, Distance, and the Midpoint Formulas

2

11.3

Circles

3

11.4

Proofs Involving Polygons

2

12.1

The Trigonometric Ratios

2

12.2

Solving Right Triangles

2

12.3

Applications Involving Right Triangles