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Chapter 1 Basics of Geometry

1.1 Patterns and Inductive Reasoning

1.2 Points, Lines, and Planes

1.3 Segments and Their Measures

1.4 Angles and Their Measures

1.5 Segment and Angle Bisectors

1.6 Angle Pair Relationships

1.7 Introduction to Perimeter, Circumference, and Area

1.2 Points, Lines, and Planes

1.3 Segments and Their Measures

1.4 Angles and Their Measures

1.5 Segment and Angle Bisectors

1.6 Angle Pair Relationships

1.7 Introduction to Perimeter, Circumference, and Area

Chapter 2 Reasoning and Proof

2.1 Conditional Statements

2.2 Definitions and Biconditional Statements

2.3 Deductive Reasoning

2.4 Reasoning with Properties from Algebra

2.5 Proving Statements about Segments

2.6 Proving Statements about Angles

2.2 Definitions and Biconditional Statements

2.3 Deductive Reasoning

2.4 Reasoning with Properties from Algebra

2.5 Proving Statements about Segments

2.6 Proving Statements about Angles

Chapter 3 Perpendicular and Parallel Lines

3.1 Lines and Angles

3.2 Proof and Perpendicular Lines

3.3 Parallel Lines and Transversals

3.4 Proving Lines are Parallel

3.5 Using Properties of Parallel Lines

3.6 Parallel Lines in the Coordinate Plane

3.7 Perpendicular Lines in the Coordinate Plane

3.2 Proof and Perpendicular Lines

3.3 Parallel Lines and Transversals

3.4 Proving Lines are Parallel

3.5 Using Properties of Parallel Lines

3.6 Parallel Lines in the Coordinate Plane

3.7 Perpendicular Lines in the Coordinate Plane

Chapter 4 Congruent Triangles

4.1 Triangles and Angles

4.2 Congruence and Triangles

4.3 Proving Triangles are Congruent: SSS and SAS

4.4 Proving Triangles are Congruent: ASA and AAS

4.5 Using Congruent Triangles

4.6 Isosceles, Equilateral, and Right Triangles

4.7 Triangles and Coordinate Proof

4.2 Congruence and Triangles

4.3 Proving Triangles are Congruent: SSS and SAS

4.4 Proving Triangles are Congruent: ASA and AAS

4.5 Using Congruent Triangles

4.6 Isosceles, Equilateral, and Right Triangles

4.7 Triangles and Coordinate Proof

Chapter 5 Properties of Triangles

5.1 Perpendiculars and Bisectors

5.2 Bisectors of a Triangle

5.3 Medians and Altitudes of a Triangle

5.4 Midsegment Theorem

5.5 Inequalities in One Triangle

5.6 Indirect Proof and Inequalities in Two Triangles

5.2 Bisectors of a Triangle

5.3 Medians and Altitudes of a Triangle

5.4 Midsegment Theorem

5.5 Inequalities in One Triangle

5.6 Indirect Proof and Inequalities in Two Triangles

Chapter 6 Quadrilaterals

6.1 Polygons

6.2 Properties of Parallelograms

6.3 Proving Quadrilaterals are Parallelograms

6.4 Rhombuses, Rectangles, and Squares

6.5 Trapezoids and Kites

6.6 Special Quadrilaterals

6.7 Areas of Triangles and Quadrilaterals

6.2 Properties of Parallelograms

6.3 Proving Quadrilaterals are Parallelograms

6.4 Rhombuses, Rectangles, and Squares

6.5 Trapezoids and Kites

6.6 Special Quadrilaterals

6.7 Areas of Triangles and Quadrilaterals

Chapter 7 Transformations

7.1 Rigid Motion in a Plane

7.2 Reflections

7.3 Rotations

7.4 Translations and Vectors

7.5 Glide Reflections and Compositions

7.6 Frieze Patterns

7.2 Reflections

7.3 Rotations

7.4 Translations and Vectors

7.5 Glide Reflections and Compositions

7.6 Frieze Patterns

Chapter 8 Similarity

8.1 Ratio and Proportion

8.2 Problem Solving in Geometry with Proportions

8.3 Similar Polygons

8.4 Similar Triangles

8.5 Proving Triangles are Similar

8.6 Proportions and Similar Triangles

8.7 Dilations

8.2 Problem Solving in Geometry with Proportions

8.3 Similar Polygons

8.4 Similar Triangles

8.5 Proving Triangles are Similar

8.6 Proportions and Similar Triangles

8.7 Dilations

Chapter 9 Right Triangles and Trigonometry

9.1 Similar Right Triangles

9.2 The Pythagorean Theorem

9.3 The Converse of the Pythagorean Theorem

9.4 Special Right Triangles

9.5 Trigonometric Ratios

9.6 Solving Right Triangles

9.7 Vectors

9.2 The Pythagorean Theorem

9.3 The Converse of the Pythagorean Theorem

9.4 Special Right Triangles

9.5 Trigonometric Ratios

9.6 Solving Right Triangles

9.7 Vectors

Chapter 10 Circles

10.1 Tangents to Circles

10.2 Arcs and Chords

10.3 Inscribed Angles

10.4 Other Angle Relationships in Circles

10.5 Segment Lengths in Circles

10.6 Equations of Circles

10.7 Locus

10.2 Arcs and Chords

10.3 Inscribed Angles

10.4 Other Angle Relationships in Circles

10.5 Segment Lengths in Circles

10.6 Equations of Circles

10.7 Locus

Chapter 11 Area of Polygons and Circles

11.1 Angle Measures in Polygons

11.2 Areas of Regular Polygons

11.3 Perimeters and Areas of Similar Figures

11.4 Circumference and Arc Length

11.5 Areas of Circles and Sectors

11.6 Geometric Probability

11.2 Areas of Regular Polygons

11.3 Perimeters and Areas of Similar Figures

11.4 Circumference and Arc Length

11.5 Areas of Circles and Sectors

11.6 Geometric Probability

Chapter 12 Surface Area and Volume

12.1 Exploring Solids

12.2 Surface Area of Prisms and Cylinders

12.3 Surface Area of Pyramids and Cones

12.4 Volume of Prisms and Cylinders

12.5 Volume of Pyramids and Cones

12.6 Surface Area and Volume of Spheres

12.7 Similar Solids

12.2 Surface Area of Prisms and Cylinders

12.3 Surface Area of Pyramids and Cones

12.4 Volume of Prisms and Cylinders

12.5 Volume of Pyramids and Cones

12.6 Surface Area and Volume of Spheres

12.7 Similar Solids