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