# Geometry

Chapter 1 Foundations for Geometry

Chapter 2 Geometric Reasoning

Chapter 3 Parallel and Perpendicular Lines

Chapter 4 Triangle Congruence

Chapter 5 Properties and Attributes of Triangles

Chapter 6 Polygons and Quadrilaterals

Chapter 7 Similarity

Chapter 8 Right Triangles and Trigonometry

Chapter 9 Extending Transformational Geometry

Chapter 10 Extending Perimeter, Circumference, and Area

Chapter 11 Spatial Reasoning

Chapter 12 Circles

Chapter 13 Probability

**Chapter 1 Foundations for Geometry**

1-1 Understanding Points, Lines, and Planes

1-2 Measuring and Constructing Segments

1-3 Measuring and Constructing Angles

1-4 Pairs of Angles

1-5 Using Formulas in Geometry

1-6 Midpoint and Distance in the Coordinate Plane

1-7 Transformations in the Coordinate Plane

**Chapter 2 Geometric Reasoning**

2-1 Using Inductive Reasoning to Make Conjectures

2-2 Conditional Statements

2-3 Using Deductive Reasoning to Verify Conjectures

2-4 Biconditional Statements and Definitions

2-5 Algebraic Proof

2-7 Flowchart and Paragraph Proofs

**Chapter 3 Parallel and Perpendicular Lines**

3-1 Lines and Angles

3-2 Angles Formed by Parallel Lines and Transversals

3-3 Proving Lines Parallel

3-4 Perpendicular Lines

3-5 Slopes of Lines

3-6 Lines in the Coordinate Plane

**Chapter 4 Triangle Congruence**

4-1 Congruence and Transformations

4-2 Classifying Triangles

4-3 Angle Relationships in Triangles

4-4 Congruent Triangles

4-5 Triangle Congruence: SSS and SAS

4-6 Triangle Congruence: ASA, AAS, and HL

4-7 Triangle Congruence: CPCTC

4-8 Introduction to Coordinate Proof

4-9 Isosceles and Equilateral Triangles

**Chapter 5 Properties and Attributes of Triangles**

5-1 Perpendicular and Angle Bisectors

5-2 Bisectors of Triangles

5-3 Medians and Altitudes of Triangles

5-4 The Triangle Midsegment Theorem

5-5 Indirect Proof and Inequalities in One Triangle

5-6 Inequalities in Two Triangles

5-7 The Pythagorean Theorem

5-8 Applying Special Right Triangles

**Chapter 6 Polygons and Quadrilaterals**

6-1 Properties and Attributes of Polygons

6-2 Properties of Parallelograms

6-3 Conditions for Parallelograms

6-4 Properties of Special Parallelograms

6-5 Conditions for Special Parallelograms

6-6 Properties of Kites and Trapezoids

**Chapter 7 Similarity**

7-1 Ratios in Similar Polygons

7-2 Similarity and Transformations

7-3 Triangle Similarity: AA, SSS, and SAS

7-4 Applying Properties of Similar Triangles

7-5 Using Proportional Relationships

7-6 Dilations and Similarity in the Coordinate Plane

**Chapter 8 Right Triangles and Trigonometry**

8-1 Similarity in Right Triangles

8-2 Trigonometric Ratios

8-3 Solving Right Triangles

8-4 Angles of Elevation and Depression

8-5 Law of Sines and Law of Cosines

8-6 Vectors

**Chapter 9 Extending Transformational Geometry**

9-1 Reflections

9-2 Translations

9-3 Rotations

9-4 Compositions of Transformations

9-5 Symmetry

9-6 Tessellations

9-7 Dilations

**Chapter 10 Extending Perimeter, Circumference, and Area**

10-1 Developing Formulas for Triangles and Quadrilaterals

10-2 Developing Formulas for Circles and Regular Polygons

10-3 Composite Figures

10-4 Perimeter and Area in the Coordinate Plane

10-5 Effects of Changing Dimensions Proportionally

10-6 Geometric Probability

**Chapter 11 Spatial Reasoning**

11-1 Solid Geometry

11-2 Volume of Prisms and Cylinders

11-3 Volume of Pyramids and Cones

11-4 Spheres

**Chapter 12 Circles**

12-1 Lines That Intersect Circles

12-2 Arcs and Chords

12-3 Sector Area and Arc Length

12-4 Inscribed Angles

12-5 Angle Relationships in Circles

12-6 Segment Relationships in Circles

12-7 Circles in the Coordinate Plane

Chapter 13 Probability

13-1 Permutations and Combinations

13-2 Theoretical and Experimental Probability

13-3 Independent and Dependent Events

13-4 Two-Way Tables

13-5 Compound Events