Chapter 1 Discovering Points, Lines, Planes, and Angles
1-1 The Coordinate Plane
1-2 Points, Lines, and Planes
1-3 Using Formulas
1-4 Measuring Segments
1-5 Midpoints and Segment Congruence
1-6 Exploring Angles
1-7 Angle Relationships
Chapter 2 Connecting Reasoning and Proof
2-1 Inductive Reasoning and Conjecturing
2-2 If-Then Statements and Postulates
2-3 Deductive Reasoning
2-4 Algebra: Using Proof in Algebra
2-5 Verifying Segment Relationships
2-6 Verifying Angle Relationships
Chapter 3 Using Perpendicular and Parallel Lines
3-1 Parallel Lines and Transversals
3-2 Angles and Parallel Lines
3-3 Algebra: Slopes of Lines
3-4 Proving Lines Parallel
3-5 Parallels and Distance
3-6 Non-Euclidean Geometry: Spherical Geometry
Chapter 4 Identifying Congruent Triangles
4-1 Classifying Triangles
4-2 Measuring Angles in Triangles
4-3 Exploring Congruent Triangles
4-4 Proving Triangles Congruent
4-5 More Congruent Triangles
4-6 Analyzing Isosceles Triangles
Chapter 5 Applying Congruent Triangles
5-1 Special Segments in Triangles
5-2 Right Triangles
5-3 Indirect Proof and Inequalities
5-4 Inequalities for Sides and Angles of a Triangle
5-5 The Triangle Inequality
5-6 Inequalities Involving Two Triangles
Chapter 6 Exploring Quadrilaterals
6-1 Parallelograms
6-2 Tests for Parallelograms
6-3 Rectangles
6-4 Squares and Rhombi
6-5 Trapezoids
Chapter 7 Connecting Proportion and Similarity
7-1 Algebra: Using Proportions
7-2 Exploring Similar Polygons
7-3 Identifying Similar Triangles
7-4 Parallel Lines and Proportional Parts
7-5 Parts of Similar Triangles
7-6 Fractals and Self-Similarity
Chapter 8 Applying Right Triangles and Trigonometry
8-1 Geometric Mean and the Pythagorean Theorem
8-2 Special Right Triangles
8-3 Trigonometry: Ratios in Right Triangles
8-4 Angles of Elevation and Depression
8-5 Using the Law of Sines
8-6 Using the Law of Cosines
Chapter 9 Analyzing Circles
9-1 Exploring Circles
9-2 Angles and Arcs
9-3 Arcs and Chords
9-4 Inscribed Angles
9-5 Tangents
9-6 Secants, Tangents, and Angle Measures
9-7 Special Segments in a Circle
9-8 Algebra: Equations of Circles
Chapter 10 Exploring Polygons and Area
10-1 Polygons
10-2 Tessellations
10-3 Area of Parallelograms
10-4 Area of Triangles, Rhombi, and Trapezoids
10-5 Area of Regular Polygons and Circles
10-6 Probability: Geometric Probability
10-7 Polygons as Networks
Chapter 11 Investigating Surface Area and Volume
11-1 Exploring three-dimensional Figures
11-2 Nets and Surface Area
11-3 Surface Area of Prisms and Cylinders
11-4 Surface Area of Pyramids and Cones
11-5 Volume of Prisms and Cylinders
11-6 Volume of Pyramids and Cones
11-7 Surface Area and Volume of Spheres
11-8 Congruent and Similar Solids
Chapter 12 Continuing Coordinate Geometry
12-1 Graphing Linear Equations
12-2 Algebra: Writing Equations of Lines
12-3 Algebra and Statistics: Scatter Plots and Slopes
12-4 Coordinate Proof
12-5 Vectors
12-6 Coordinates in Space
Chapter 13 Investigating Loci and Coordinate Transformations
13-1 What is Locus?
13-2 Algebra: Locus and Systems of Linear Equations
13-3 Intersection of Loci
13-4 Mappings
13-5 Reflections
13-6 Translations
13-7 Rotations
13-8 Dilations
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