Chapter 0 Preparing for Geometry

0-1 Changing Units of Measure Within Systems

0-2 Changing Units of Measure Between Systems

0-3 Simple Probability

0-4 Algebraic Expressions

0-5 Linear Equations

0-6 Linear Inequalities

0-7 Ordered Pairs

0-8 Systems of Linear Equations

0-9 Square Roots and Simplifying Radicals

Unit 1 Geometric Structure

Chapter 1 Tool of Geometry

1-1 Points, Lines, and Planes

Extend 1-1 Geometry Lab: Describing What You See

1-2 Linear Measure

Extend 1-2 Extension Lesson: Precision and Accuracy

1-3 Distance and Midpoints

1-4 Angle Measure

1-5 Angle Relationships

Extend 1-5 Geometry Lab: Constructing Perpendiculars

1-6 Two-Dimensional Figures

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

1-7 Three-Dimensional Figures

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

Chapter 2 Reasoning and Proof

2-1 Inductive Reasoning and Conjecture

2-2 Logic

2-3 Conditional Statements

Extend 2-3 Geometry Lab: Biconditional Statements

2-4 Deductive Reasoning

Explore 2-5 Geometry Lab: Necessary and Sufficient Conditions

2-5 Postulates and Paragraph Proofs

2-6 Algebraic Proof

2-7 Proving Segment Relationships

2-8 Proving Angle Relationships

Chapter 3 Parallel and Perpendicular Lines

3-1 Parallel Lines and Transversals

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

3-2 Angles and Parallel Lines

Explore 3-3 Graphing Technology Lab: Investigating Slope

3-3 Slopes of Lines

3-4 Equations of Lines

Extend 3-4 Geometry Lab: Equations of Perpendicular Bisectors

3-5 Proving Lines Parallel

3-6 Perpendiculars and Distance

Unit 2 Congruence

Chapter 4 Congruent Triangles

4-1 Classifying Triangles

Explore 4-2 Geometry Lab: Angles of Triangles

4-2 Angles of Triangles

4-3 Congruent Triangles

4-4 Proving Triangles Congruent: SSS, SAS

Extend 4-4 Geometry Lab: Proving Constructions

4-5 Proving Triangles Congruent: ASA, AAS

Extend 4-5 Geometry Lab: Congruence in Right Triangles

4-6 Isosceles and Equilateral Triangles

Explore 4-7 Graphing Technology Lab: Congruence Transformations

4-7 Congruence Transformations

4-8 Triangles and Coordinate Proof

Chapter 5 Relationships in Triangles

Explore 5-1 Geometry Lab: Constructing Bisectors

5-1 Bisectors of Triangles

Explore 5-2 Geometry Lab: Constructing Medians and Altitudes

5-2 Medians and Altitudes of Triangles

5-3 Inequalities in One Triangle

Explore 5-4 Geometry Lab: Matrix Logic

5-4 Indirect Proof

Explore 5-5 Graphing Technology Lab: The Triangle Inequality

5-5 The Triangle Inequality

5-6 Inequalities in Two Triangles

Chapter 6 Quadrilaterals

6-1 Angles of Polygons

Extend 6-1 Spreadsheet Lab: Angles of Polygons

6-2 Parallelograms

Explore 6-3 Graphing Technology Lab: Parallelograms

6-3 Tests for Parallelograms

6-4 Rectangles

6-5 Rhombi and Squares

6-6 Trapezoids and Kites

Unit 3 Similarity

Chapter 7 Proportions and Similarity

7-1 Ratios and Proportions

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

7-2 Similar Polygons

7-3 Similar Triangles

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

7-4 Parallel Lines and Proportional Parts

7-5 Parts of Similar Triangles

Extend 7-5 Geometry Lab: Fractals

7-6 Similarity Transformations

7-7 Scale Drawings and Models

Chapter 8 Right Triangles and Trigonometry

8-1 Geometric Mean

Explore 8-2 Geometry Lab: Proofs Without Words

8-2 The Pythagorean Theorem and Its Converse

Extend 8-2 Geometry Lab: Coordinates in Space

8-3 Special Right Triangles

Explore 8-4 Graphing Technology Lab: Trigonometry

8-4 Trigonometry

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

8-5 Angles of Elevation and Depression

8-6 The Law of Sines and Law of Cosines

Extend 8-6 Geometry Lab: The Ambiguous Case

8-7 Vectors

Extend 8-7 Geometry Lab: Adding Vectors

Chapter 9 Transformations and Symmetry

9-1 Reflections

9-2 Translations

Explore 9-3 Geometry Lab: Rotations

9-3 Rotations

Extend 9-3 Geometry Lab: Solids of Revolution

Explore 9-4 Geometry Software Lab: Compositions of Transformations

9-4 Compositions of Transformations

Extend 9-4 Geometry Lab: Tessellations

9-5 Symmetry

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

Explore 9-6 Geometry Software Lab: Dilations

9-6 Dilations

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

Unit 4 Measurement

Chapter 10 Circles

10-1 Circles and Circumference

10-2 Measuring Angles and Arcs

10-3 Arcs and Chords

10-4 Inscribed Angles

10-5 Tangents

Extend 10-5 Geometry Lab: Inscribed and Circumscribed Circles

10-6 Secants, Tangents, and Angle Measures

10-7 Special Segments in a Circle

10-8 Equations of Circles

Extend 10-8 Geometry Lab: Parabolas

Chapter 11 Areas of Polygons and Circles

11-1 Areas of Parallelograms and Triangles

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

11-2 Areas of Trapezoids, Rhombi, and Kites

Extend 11-2 Geometry Lab: Population Density

11-3 Areas of Circles and Sectors

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

11-4 Areas of Regular Polygons and Composite Figures

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

11-5 Areas of Similar Figures

Chapter 12 Extending Surface Area and Volume

Explore 12-1 Geometry Lab: Solids Formed by Translations

12-1 Representations of Three-Dimensional Figures

Extend 12-1 Geometry Lab: Topographic Maps

12-2 Surface Areas of Prisms and Cylinders

12-3 Surface Areas of Pyramids and Cones

12-4 Volumes of Prisms and Cylinders

Extend 12-4 Graphing Technology Lab: Changing Dimensions

12-5 Volumes of Pyramids and Cones

12-6 Surface Areas and Volumes of Spheres

Extend 12-6 Geometry Lab: Locus and Spheres

12-7 Spherical Geometry

Extend 12-7 Geometry Lab: Navigational Coordinates

12-8 Congruent and Similar Solids

Chapter 13 Probability and Measurement

13-1 Representing Sample Spaces

13-2 Probability with Permutations and Combinations

13-3 Geometric Probability

13-4 Simulations

13-5 Probabilities of Independent and Dependent Events

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

13-6 Probabilities of Mutually Exclusive Events

Extend 13-6 Geometry Lab: Graph Theory

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