Table of Contents
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
