Geometry

Geometry Geometry

ISBN: 9780078884849 / 0078884845

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Table of Contents

Chapter 1

Tools Of Geometry

1.1 Points, Lines, and Planes Exercises p.8
1.2 Linear Measure Exercises p.18
1.3 Distance and Midpoints Exercises p.30
1.4 Angle Measure Exercises p.41
Mid-Chapter Quiz p.45
1.5 Angle Relationships Exercises p.50
1.6 Two-Dimensional Figures Exercises p.61
1.7 Three-Dimensional Figures Exercises p.70

Chapter 2

Reasoning And Proof

2.1 Inductive Reasoning and Conjecture Exercises p.92
2.2 Logic Exercises p.101
2.3 Conditional Statements Exercises p.109
2.4 Deductive Reasoning Exercises p.119
2.5 Postulates and Paragraph Proofs Exercises p.128
2.6 Algebraic Proof Exercises p.137
2.7 Proving Segment Relationships Exercises p.145
2.8 Proving Angle Relationships Exercises p.154

Chapter 3

Parallel And Perpendicular Lines

3.1 Parallel Lines and Transversals Exercises p.173
3.2 Angles and Parallel Lines Exercises p.181
3.3 Slopes of Lines Exercises p.190
3.4 Equations of Lines Exercises p.200
3.5 Proving Lines Parallel Exercises p.208
3.6 Perpendiculars and Distance Exercises p.218
Practice Test p.227

Chapter 4

Congruent Triangles

4.1 Classifying Triangles Exercises p.238
4.2 Angles of Triangles Exercises p.248
4.3 Congruent Triangles Exercises p.256
4.4 Proving Triangles Congruent: SSS, SAS Exercises p.266
4.5 Proving Triangles Congruent: ASA, AAS Exercises p.276
4.6 Isosceles and Equilateral Triangles Exercises p.287
4.7 Congruence Transformations Exercises p.297
4.8 Triangles and Coordinate Proof Exercises p.304
Practice Test p.313

Chapter 5

Relationships In Triangles

5.1 Bisectors of Triangles Exercises p.327
5.2 Medians and Altitudes of Triangles Exercises p.337
5.3 Inequalities in One Triangle Exercises p.346
5.4 Indirect Proof Exercises p.354
5.5 The Triangle Inequality Exercises p.362
5.6 Inequalities in Two Triangles Exercises p.371

Chapter 6

Quadrilaterals

6.1 Angles of Polygons Exercises p.393
6.2 Parallelograms Exercises p.403
6.3 Tests for Parallelograms Exercises p.413
6.4 Rectangles Exercises p.422
6.5 Rhombi and Squares Exercises p.431
6.6 Trapezoids and Kites Exercises p.440

Chapter 7

Proportions And Similarity

7.1 Ratios and Proportions Exercises p.460
7.2 Similar Polygons Exercises p.468
7.3 Similar Triangles Exercises p.479
7.4 Parallel Lines and Proportional Parts Exercises p.489
7.5 Parts of Similar Triangles Exercises p.498
7.6 Similarity Transformations Exercises p.508
7.7 Scale Drawings and Models Exercises p.514

Chapter 8

Right Triangles And Trigonometry

8.1 Geometric Mean Exercises p.535
8.2 The Pythagorean Theorem and Its Converse Exercises p.545
8.3 Special Right Triangles Exercises p.556
8.4 Trigonometry Exercises p.567
8.5 Angles of Elevation and Depression Exercises p.577
8.6 The Law of Sines and Law of Cosines Exercises p.586
8.7 Vectors Exercises p.597

Chapter 9

Transformations And Symmetry

9.1 Reflections Exercises p.619
9.2 Translations Exercises p.627
9.3 Rotations Exercises p.635
9.4 Compositions of Transformations Exercises p.645
9.5 Symmetry Exercises p.656
9.6 Dilations Exercises p.663

Chapter 10

Circles

10.1 Circles and Circumference Exercises p.687
10.2 Measuring Angles and Arcs Exercises p.696
10.3 Arcs and Chords Exercises p.704
10.4 Inscribed Angles Exercises p.713
10.5 Tangents Exercises p.721
10.6 Secants, Tangents, and Angle Measures Exercises p.731
10.7 Special Segments in a Circle Exercises p.739
10.8 Equations of Circles Exercises p.746

Chapter 11

Areas Of Polygons And Circles

11.1 Areas of Parallelograms and Triangles Exercises p.767
11.2 Areas of Trapezoids, Rhombi, and Kites Exercises p.777
11.3 Areas of Circles and Sectors Exercises p.784
11.4 Areas of Regular Polygons and Composite Figures Exercises p.795
11.5 Areas of Similar Figures Exercises p.805

Chapter 12

Extending Surface Area And Volume

12.1 Representations of Three-Dimensional Figures Exercises p.825
12.2 Surface Areas of Prisms and Cylinders Exercises p.833
12.3 Surface Areas of Pyramids and Cones Exercises p.843
12.4 Volumes of Prisms and Cylinders Exercises p.850
12.5 Volumes of Pyramids and Cones Exercises p.860
12.6 Surface Areas and Volumes of Spheres Exercises p.868
12.7 Spherical Geometry Exercises p.875
12.8 Congruent and Similar Solids Exercises p.883

Chapter 13

Probability And Measurement

13.1 Representing Sample Spaces Exercises p.902
13.2 Probability with Permutations and Combinations Exercises p.911
13.3 Geometric Probability Exercises p.918
13.4 Simulations Exercises p.927
13.5 Probabilities of Independent and Dependent Events Exercises p.935
13.6 Probabilities of Mutually Exclusive Events Exercises p.943
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