Geometry: Integration, Applications, Connections

Geometry: Integration, Applications, Connections Geometry: Integration, Applications ...

ISBN: 9780078228803 / 0078228808

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Table of Contents

Chapter 1

Discovering Points, Lines, Planes And Angles

1-1 The Coordinate Plane Exercises p.8
1-2 Points, Lines, and Planes Exercises p.15
1-3 Using Formulas Exercises p.22
1-4 Measuring Segments Exercises p.32
1-5 Midpoints and Segment Congruence Exercises p.40
1-6 Exploring Angles Exercises p.49
1-7 Angle Relationships Exercises p.58
Review Exercises p.61

Chapter 2

Connecting Reasoning And Proof

2-1 Inductive Reasoning and Conjecturing Exercises p.72
2-2 If-Then Statements and Postulates Exercises p.80
2-3 Deductive Reasoning Exercises p.87
2-4 Using Proof in Algebra Exercises p.94
2-5 Verifying Segment Relationships Exercises p.102
2-6 Verifying Angle Relationships Exercises p.110
Review Exercises p.115
Standardized Test Practice p.120

Chapter 3

Using Perpendicular And Parallel Lines

3-1 Parallel Lines and Transversals Exercises p.127
3-2 Angles and Parallel Lines Exercises p.134
3-3 Slopes of Lines Exercises p.141
3-4 Proving Lines Parallel Exercises p.149
3-5 Parallels and Distance Exercises p.157
3-6 Spherical Geometry Exercises p.167
Review Exercises p.171

Chapter 4

Identifying Congruent Triangles

4-1 Classifying Triangles Exercises p.183
4-2 Measuring Angles in Triangles Exercises p.192
4-3 Exploring Congruent Triangles Exercises p.199
4-4 Proving Triangles Congruent Exercises p.208
4-5 More Congruent Triangles Exercises p.216
4-6 Analyzing Isosceles Triangles Exercises p.224
Review Exercises p.229
Standardized Test Practice p.234

Chapter 5

Applying Congruent Triangles

5-1 Special Segments In Triangles Exercises p.241
5-2 Right Triangles Exercises p.248
5-3 Indirect Proof and Inequalities Exercises p.255
5-4 Inequalities for Sides and Angles of a Triangle Exercises p.262
5-5 The Triangle Inequality Exercises p.269
5-6 Inequalities Involving Two Triangles Exercises p.275
Review Exercises p.281

Chapter 6

Exploring Quadrilaterals

6-1 Parallelograms Exercises p.294
6-2 Tests for Parallelograms Exercises p.300
6-3 Rectangles Exercises p.309
6-4 Squares and Rhombi Exercises p.316
6-5 Trapezoids Exercises p.324
Review Exercises p.329
Standardized Test Practice p.334

Chapter 7

Connecting Proportion And Similarity

7-1 Using Proportions Exercises p.341
7-2 Exploring Similar Polygons Exercises p.349
7-3 Identifying Similar Triangles Exercises p.357
7-4 Parallel Lines and Proportional Parts Exercises p.366
7-5 Parts of Similar Triangles Exercises p.372
7-6 Fractals and Self-Similarity Exercises p.381
Review Exercises p.387

Chapter 8

Applying Right Triangles And Trigonometry

8-1 Geometric Mean and the Pythagorean Theorem Exercises p.400
8-2 Special Right Triangles Exercises p.408
8-3 Ratios in Right Triangles Exercises p.415
8-4 Angles of Elevation and Depression Exercises p.422
8-5 Using the Law of Sines Exercises p.428
8-6 Using the Law of Cosines Exercises p.433
Review Exercises p.437

Chapter 9

Analyzing Circles

9-1 Exploring Circles Exercises p.449
9-2 Angles and Arcs Exercises p.454
9-3 Arcs and Chords Exercises p.461
9-4 Inscribed Angles Exercises p.469
9-5 Tangents Exercises p.478
9-6 Secants, Tangents, and Angle Measures Exercises p.486
9-7 Special Segments in a Circle Exercises p.494
9-8 Equations of Circles Exercises p.500
Review Exercises p.505

Chapter 10

Exploring Polygons And Area

10-1 Polygons Exercises p.518
10-2 Tessellations Exercises p.525
10-3 Area of Parallelograms Exercises p.532
10-4 Area of Triangles, Rhombi, and Trapezoids Exericses p.538
10-5 Area of Regular Polygons and Circles Exercises p.547
10-6 Geometric Probability Exercises p.554
10-7 Polygons as Networks Exercises p.561
Review Exercises p.565

Chapter 11

Investigating Surface Area And Volume

11-1 Exploring Three-Dimensional Figures Exercises p.578
11-2 Nets and Surface Area Exercises p.586
11-3 Surface Area of Prisms and Cylinders Exercises p.595
11-4 Surface Area of Pyramids and Cones Exercises p.603
11-5 Volume of Prisms and Cylinders Exercises p.610
11-6 Volume of Pyramids and Cones Exercises p.617
11-7 Surface Area and Volume of Spheres Exercises p.625
11-8 Congruent and Similar Solids Exercises p.632
Review Exercises p.637

Chapter 12

Continuing Coordinate Geometry

12-1 Graphing Linear Equations Exercises p.648
12-2 Writing Equations of Lines Exercises p.655
12-3 Scatter Plots and Slopes Exercises p.662
12-4 Coordinate Proof Exercises p.668
12-5 Vectors Exercises p.676
12-6 Coordinates in Space Exercises p.683
Review Exercises p.687

Chapter 13

Investigating Loci And Coordinate Transformations

13-1 What Is Locus? Exercises p.699
13-2 Locus and Systems of Linear Equations Exercises p.706
13-3 Intersection of Loci Exercises p.712
13-4 Mappings Exercises p.718
13-5 Reflections Exercises p.725
13-6 Translations Exercises p.733
13-7 Rotations Exercises p.741
13-8 Dilations Exercises p.749
Review Exercises p.755
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