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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

Chapter Review and Test

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 with Segments

2-6 Proving Statements about Angles

Chapter Review and Test

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

Chapter Review and Test

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

Chapter Review and Test

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

Chapter Review and Test

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

Chapter Review and Test

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

Chapter Review and Test

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

Chapter Review and Test

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

Chapter Review and Test

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

Chapter Review and Test

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

Chapter Review and Test

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

Chapter Review and Test