Table of Contents
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
