Section |
Topic |
Content |
1.1 |
Intro. |
1-14 |
1.2 |
Measurement of Angles & Segments |
1-23 |
1.3 |
Collinearity, Betweenness, Assumptions |
1-15 |
1.4 |
Beginning Proofs |
1-15 |
1.5 |
Division of Segments & Angles |
1-24 |
1.6 |
Paragraph Proofs |
1-12 |
1.9 |
Probability |
1-11 |
2.1 |
Perpendicularity |
1-13 |
2.2 |
Complementary & Supplementary Angles |
1-25 |
2.3 |
Drawing Conclusions |
1-12 |
2.4 |
Congruent Supplements & Complements |
1-19 |
2.5 |
Addition & Subtraction Properties |
1-17 |
2.6 |
Multiplication & Division Properties |
1-14 |
2.7 |
Transitive & Substitution Properties |
1-15 |
2.8 |
Vertical Angles |
1-15 |
3.1 |
What are Congruent Figures? |
1-5 |
3.2 |
Three Ways to Prove Triangles Congruent |
1-25 |
3.3 |
CPCTC & Circles |
1-21 |
3.4 |
Beyond CPCTC |
1-12 |
3.5 |
Overlapping Triangles |
1-12 |
3.6 |
Types of Triangles |
1-14 |
3.7 |
Angle-side Theorems |
1-25 |
3.8 |
The HL Postulate |
1-16 |
4.3 |
A Right Angle Theorem |
1-14 |
4.4 |
The Equidistance Theorems |
1-20 |
4.5 |
Introduction to Parallel Lines |
1-5 |
4.6 |
Slope |
1-15 |
5.2 |
Proving that Lines are Parallel |
1-24 |
5.3 |
Congruent Angles associated with Parallel Lines |
1-25 |
5.4 |
Four-sided Polygons |
1-20 |
5.5 |
Properties of Quadrilaterals |
1-28 |
5.6 |
Proving that a Quadrilateral is a Parallelogram |
1-19 |
5.7 |
Proving that figures are Special Quadrilaterals |
1-21, 23 |
7.1 |
Triangle Application Theorems |
1-18 |
7.2 |
Two Proof-oriented Triangle Theorems |
1, 2, 4-18 |
7.3 |
Formulas Involving Polygons |
1-17 |
7.4 |
Regular Polygons |
1-14 |
8.1 |
Ratio and Proportion |
1-22 |
8.2 |
Similarity |
1-15 |
8.3 |
Methods of Proving Triangles Similar |
1-20 |
8.4 |
Congruences and Proportions in Similar Triangles |
1-14, 16-23 |
8.5 |
Three Theorems Involving Proportions |
1-23 |
9.1 |
Review of Radicals & Quadratic Equations |
1-12 |
9.2 |
Intro. To Circles |
1-13 |
9.3 |
Altitude-on-Hypotenuse Theorems |
1-18 |
9.4 |
Geometry’s Most Elegant Theorem |
1-23 |
9.5 |
The Distance Formula |
1-24 |
9.6 |
Families of Right Triangles |
1-13, 15-18 |
9.7 |
Special Right Triangles |
1-10, 12-22 |
9.8 |
The Pythagorean Theorem & Space Figures |
1-17 |
9.9 |
Intro. To Trigonometry |
1-18 |
9.10 |
Trigonometric Ratios |
1-15 |
10.1 |
The Circle |
1-18 |
10.2 |
Congruent Chords |
1-13 |
10.3 |
Arcs of a Circle |
1-20 |
10.4 |
Secants & Tangents |
1-20 |
10.5 |
Angles Related to a Circle |
1-30 |
10.6 |
More Angle-Arc Theorems |
1-21 |
10.7 |
Inscribed & Circumscribed Polygons |
1-20 |
10.8 |
The Power Theorems |
1-16 |
10.9 |
Circumference & Arc Length |
1-12 |
11.1 |
Understanding Area |
1-15 |
11.2 |
Areas of Parallelograms & Triangles |
1-26 |
11.3 |
The Area of a Trapezoid |
1-13 |
11.4 |
Areas of Kites & Related Figures |
1-10 |
11.5 |
Areas of Regular Polygons |
1-18 |
11.6 |
Areas of Circles, Sectors & Segments |
1-17 |
11.7 |
Ratios of Areas |
1-17 |
12.1 |
Surface Areas of Prisms |
1-8 |
12.2 |
Surface Areas of Pyramids |
1-8 |
12.3 |
Surface Areas of Circular Solids |
1-13 |
