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

ISBN: 9780078228803 / 0078228808

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

 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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