## Chapter 0 Preparing for Geometry

### 0-1Changing Units of Measure Within Systems

### 0-2Changing Units of Measure Between Systems

### 0-3Simple Probability

### 0-4Algebraic Expressions

### 0-5Linear Equations

### 0-6Linear Inequalities

### 0-7Ordered Pairs

### 0-8Systems of Linear Equations

### 0-9Square Roots and Simplifying Radicals

# Unit 1 Geometric Structure

## Chapter 1 Tool of Geometry

### 1-1Points, Lines, and Planes

#### Extend 1-1 Geometry Lab: Describing What You See

### 1-2Linear Measure

#### Extend 1-2 Extension Lesson: Precision and Accuracy

### 1-3Distance and Midpoints

### 1-4Angle Measure

### 1-5Angle Relationships

#### Extend 1-5 Geometry Lab: Constructing Perpendiculars

### 1-6Two-Dimensional Figures

#### Extend 1-6 Geometry Software Lab: Two-Dimensional Figures

### 1-7Three-Dimensional Figures

#### Extend 1-7 Geometry Lab: Two-Dimensional Representations of Three-Dimensional Objects

## Chapter 2 Reasoning and Proof

### 2-1Inductive Reasoning and Conjecture

### 2-2Logic

### 2-3Conditional Statements

#### Extend 2-3 Geometry Lab: Biconditional Statements

### 2-4Deductive Reasoning

#### Explore 2-5 Geometry Lab: Necessary and Sufficient Conditions

### 2-5Postulates and Paragraph Proofs

### 2-6Algebraic Proof

### 2-7Proving Segment Relationships

### 2-8Proving Angle Relationships

## Chapter 3 Parallel and Perpendicular Lines

### 3-1Parallel Lines and Transversals

#### Explore 3-2 Geometry Software Lab: Angles and Parallel Lines

### 3-2Angles and Parallel Lines

#### Explore 3-3 Graphing Technology Lab: Investigating Slope

### 3-3Slopes of Lines

### 3-4Equations of Lines

#### Extend 3-4 Geometry Lab: Equations of Perpendicular Bisectors

### 3-5Proving Lines Parallel

### 3-6Perpendiculars and Distance

# Unit 2 Congruence

## Chapter 4 Congruent Triangles

### 4-1Classifying Triangles

#### Explore 4-2 Geometry Lab: Angles of Triangles

### 4-2Angles of Triangles

### 4-3Congruent Triangles

### 4-4Proving Triangles Congruent: SSS, SAS

#### Extend 4-4 Geometry Lab: Proving Constructions

### 4-5Proving Triangles Congruent: ASA, AAS

#### Extend 4-5 Geometry Lab: Congruence in Right Triangles

### 4-6Isosceles and Equilateral Triangles

#### Explore 4-7 Graphing Technology Lab: Congruence Transformations

### 4-7Congruence Transformations

### 4-8Triangles and Coordinate Proof

## Chapter 5 Relationships in Triangles

#### Explore 5-1 Geometry Lab: Constructing Bisectors

### 5-1Bisectors of Triangles

#### Explore 5-2 Geometry Lab: Constructing Medians and Altitudes

### 5-2Medians and Altitudes of Triangles

### 5-3Inequalities in One Triangle

#### Explore 5-4 Geometry Lab: Matrix Logic

### 5-4Indirect Proof

#### Explore 5-5 Graphing Technology Lab: The Triangle Inequality

### 5-5The Triangle Inequality

### 5-6Inequalities in Two Triangles

## Chapter 6 Quadrilaterals

### 6-1Angles of Polygons

#### Extend 6-1 Spreadsheet Lab: Angles of Polygons

### 6-2Parallelograms

#### Explore 6-3 Graphing Technology Lab: Parallelograms

### 6-3Tests for Parallelograms

### 6-4Rectangles

### 6-5Rhombi and Squares

### 6-6Trapezoids and Kites

# Unit 3 Similarity

## Chapter 7 Proportions and Similarity

### 7-1Ratios and Proportions

#### Extend 7-1 Graphing Technology Lab: Fibonacci Sequence and Ratios

### 7-2Similar Polygons

### 7-3Similar Triangles

#### Extend 7-3 Geometry Lab: Proofs of Parallel and Perpendicular Lines

### 7-4Parallel Lines and Proportional Parts

### 7-5Parts of Similar Triangles

#### Extend 7-5 Geometry Lab: Fractals

### 7-6Similarity Transformations

### 7-7Scale Drawings and Models

## Chapter 8 Right Triangles and Trigonometry

### 8-1Geometric Mean

#### Explore 8-2 Geometry Lab: Proofs Without Words

### 8-2The Pythagorean Theorem and Its Converse

#### Extend 8-2 Geometry Lab: Coordinates in Space

### 8-3Special Right Triangles

#### Explore 8-4 Graphing Technology Lab: Trigonometry

### 8-4Trigonometry

#### Extend 8-4 Graphing Technology Lab: Secant, Cosecant, and Cotangent

### 8-5Angles of Elevation and Depression

### 8-6The Law of Sines and Law of Cosines

#### Extend 8-6 Geometry Lab: The Ambiguous Case

### 8-7Vectors

#### Extend 8-7 Geometry Lab: Adding Vectors

## Chapter 9 Transformations and Symmetry

### 9-1Reflections

### 9-2Translations

#### Explore 9-3 Geometry Lab: Rotations

### 9-3Rotations

#### Extend 9-3 Geometry Lab: Solids of Revolution

#### Explore 9-4 Geometry Software Lab: Compositions of Transformations

### 9-4Compositions of Transformations

#### Extend 9-4 Geometry Lab: Tessellations

### 9-5Symmetry

#### Extend 9-5 Geometry Lab: Exploring Constructions with a Reflective Device

#### Explore 9-6 Geometry Software Lab: Dilations

### 9-6Dilations

#### Extend 9-6 Geometry Lab: Establishing Triangle Congruence and Similarity

# Unit 4 Measurement

## Chapter 10 Circles

### 10-1Circles and Circumference

### 10-2Measuring Angles and Arcs

### 10-3Arcs and Chords

### 10-4Inscribed Angles

### 10-5Tangents

#### Extend 10-5 Geometry Lab: Inscribed and Circumscribed Circles

### 10-6Secants, Tangents, and Angle Measures

### 10-7Special Segments in a Circle

### 10-8Equations of Circles

#### Extend 10-8 Geometry Lab: Parabolas

## Chapter 11 Areas of Polygons and Circles

### 11-1Areas of Parallelograms and Triangles

#### Explore 11-2 Graphing Technology Lab: Areas of Trapezoids, Rhombi, and Kites

### 11-2Areas of Trapezoids, Rhombi, and Kites

#### Extend 11-2 Geometry Lab: Population Density

### 11-3Areas of Circles and Sectors

#### Explore 11-4 Geometry Lab: Investigating Areas of Regular Polygons

### 11-4Areas of Regular Polygons and Composite Figures

#### Extend 11-4 Geometry Lab: Regular Polygons on the Coordinate Plane

### 11-5Areas of Similar Figures

## Chapter 12 Extending Surface Area and Volume

#### Explore 12-1 Geometry Lab: Solids Formed by Translations

### 12-1Representations of Three-Dimensional Figures

#### Extend 12-1 Geometry Lab: Topographic Maps

### 12-2Surface Areas of Prisms and Cylinders

### 12-3Surface Areas of Pyramids and Cones

### 12-4Volumes of Prisms and Cylinders

#### Extend 12-4 Graphing Technology Lab: Changing Dimensions

### 12-5Volumes of Pyramids and Cones

### 12-6Surface Areas and Volumes of Spheres

#### Extend 12-6 Geometry Lab: Locus and Spheres

### 12-7Spherical Geometry

#### Extend 12-7 Geometry Lab: Navigational Coordinates

### 12-8Congruent and Similar Solids

## Chapter 13 Probability and Measurement

### 13-1Representing Sample Spaces

### 13-2Probability with Permutations and Combinations

### 13-3Geometric Probability

### 13-4Simulations

### 13-5Probabilities of Independent and Dependent Events

#### Extend 13-5 Geometry Lab: Two-Way Frequency Tables

### 13-6Probabilities of Mutually Exclusive Events

#### Extend 13-6 Geometry Lab: Graph Theory