# Geometry, Common Core Edition Geometry, Common Core Edition

Common Core Edition | ISBN: 9780076639298 / 0076639290

4,073

expert-verified solutions in this book

Common Core Edition | ISBN: 9780076639298 / 0076639290

4,073

expert-verified solutions in this book

### Chapter 0

Preparing For Geometry

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### 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 Exercises p.70 Study Guide and Review p.78 Practice Test p.83

### Chapter 2

Reasoning And Proof

 2-1 Inductive Reasoning and Conjecture Exercises p.94 2-2 Logic Exercises p.103 2-3 Conditional Statements Exercises p.111 2-4 Deductive Reasoning Exercises p.121 2-5 Postulates and Paragraph Proofs Exercises p.130 Mid-Chapter Quiz p.135 2-6 Algebraic Proof Exercises p.139 2-7 Proving Segment Relationships Exercises p.147 2-8 Proving Angle Relationships Exercises p.156 Study Guide and Review p.160 Practice Test p.165

### Chapter 3

Parallel And Perpendicular Lines

 3-1 Parallel Lines and Transversals Exercises p.175 3-2 Angles and Parallel Lines Exercises p.183 3-3 Slopes of Lines Exercises p.192 Mid-Chapter Quiz p.197 3-4 Equations of Lines Exercises p.202 3-5 Proving Lines Parallel Exercises p.211 3-6 Perpendiculars and Distance Exercises p.220 Study Guide and Review p.225 Practice Test p.229

### Chapter 4

Congruent Triangles

 4-1 Classifying Triangles Exercises p.240 4-2 Angles of Triangles Exercises p.250 4-3 Congruent Triangles Exercises p.258 4-4 Proving Triangles Congruent - SSS, SAS Exercises p.268 Mid-Chapter Quiz p.274 4-5 Proving Angles Congruent - ASA, AAS Exercises p.278 Geometry Lab p.283 4-6 Isosceles and Equilateral Triangles Exercises p.289 4-7 Congruence Transformations Exercises p.299 4-8 Triangles and Coordinate Proof Exercises p.306 Study Guide and Review p.310 Practice Test p.315

### Chapter 5

Relationships In Triangles

 5-1 Bisectors of Triangles Exercises p.329 5-2 Medians and Altitudes of Triangles Exercises p.339 5-3 Inequalities in One Triangle Exercises p.348 Mid-Chapter Quiz p.352 5-4 Indirect Proof Exercises p.358 5-5 The Triangle Identity Exercises p.366 5-6 Inequalities in Two Triangles Exercises p.375 Study Guide and Review p.381 Practice Test p.385

### Chapter 6

 6-1 Angles of Polygons Exercises p.397 6-2 Parallelograms Exercises p.407 6-3 Tests for Parallelograms Exercises p.417 Mid-Chapter Quiz p.422 6-4 Rectangles Exercises p.426 6-5 Rhombi and Squares Exercises p.435 6-6 Trapezoids and Kites Exercises p.444 Study Guide and Review p.449 Practice Test p.453

### Chapter 7

Proportions And Similarity

 7-1 Ratios and Proportions Exercises p.464 7-2 Similar Polygons Exercises p.472 7-3 Similar Triangles Exercises p.483 7-4 Parallel Lines and Proportional Parts Exercises p.495 Mid Chapter Quiz p.500 7-5 Parts of Similar Triangles Exercises p.504 7-6 Similarity Transformations Exercises p.514 7-7 Scale Drawings and Models Exercises p.520 Study Guide and Review p.524 Practice Test p.529

### Chapter 8

Right Triangles And Trigonometry

 8-1 Geometric Mean Exercises p.541 8-2 The Pythagorean Theorem and Its Converse Exercises p.551 8-3 Special Right Triangles Exercises p.562 8-4 Trigonometry Exercises p.573 Mid-Chapter Quiz p.579 8-5 Angles of Elevation and Depression Exercises p.583 8-6 The Law of Sines and Law of Cosines Exercises p.592 8-7 Vectors Exercises p.605 Study Guide and Review p.610 Practice Test p.615

### Chapter 9

Transformations And Symmetry

 9-1 Reflections Exercises p.627 9-2 Translations Exercises p.635 9-3 Rotations Exercises p.643 Mid-Chapter Quiz p.649 9-4 Compositions of Transformations Exercises p.655 9-5 Symmetry Exercises p.666 9-6 Dilations Exercises p.677 Study Guide and Review p.684 Practice Test p.689

### Chapter 10

Circles

 10-1 Circles and Circumference Exercises p.701 10-2 Measuring Angles and Arcs Exercises p.710 10-3 Arcs and Chords Exercises p.718 10-4 Inscribed Angles Exercises p.727 Mid-Chapter Quiz p.731 10-5 Tangents Exercises p.735 Geometry Lab: Inscribed and Circumscribed Circles p.740 10-6 Secants, Tangents, and Angle Measures Exercises p.745 10-7 Special Segments in a Circle Exercises p.753 10-8 Equations of Circles Exercises p.760 Study Guide and Review p.766 Practice Test p.771

### Chapter 11

Areas Of Polygons And Circles

 11-1 Areas of Parallelograms and Triangles Exercises p.783 11-2 Areas of Trapezoids, Rhombuses, and Kites Graphing Technology Lab: Areas of Trapezoids, Rhombi and Kites p.788 Exercises p.793 Geometry Lab: Population Density p.797 11-3 Areas of Circles and Sectors Exercises p.800 Mid-Chapter Quiz p.805 11-4 Areas of Regular Polygons and Composite Figures Geometry Lab: Investigating Areas of Regular Polygons p.806 Exercises p.811 Geometry Lab: Regular Polygons on the Coordinate Plane p.817 11-5 Areas of Similar Figures Exercises p.821 Study Guide & Review p.825 Practice Test p.829 Preparing for Standardized Tests p.831 Standardized Test Practice p.832

### Chapter 12

Extending Surface Area And Volume

 12-1 Representations of Three-Dimensional Figures Geometry Lab: Solids Formed by Transition p.835 Exercises p.841 Geometry Lab: Topographic Maps p.845 12-2 Surface Areas of Prisms and Cylinders Exercises p.849 12-3 Surface Areas of Pyramids and Cones Exercises p.859 12-4 Volumes of Prisms and Cylinders Exercises p.866 Graphing Technology Lab: Changing Dimensions p.871 Mid-Chapter Quiz p.872 12-5 Volumes of Pyramids and Cones Exercises p.876 12-6 Surface Areas and Volumes of Spheres Exercises p.884 Geometry Lab: Locus and Spheres p.888 12-7 Spherical Geometry Exercises p.891 Geometry Lab: Navigational Coordinates p.895 12-8 Congruent and Similar Solids Exercises p.899 Study Guide & Review p.903 Practice Test p.907 Preparing for Standardized Tests p.909 Standardized Test Practice p.910

### Chapter 13

Probability And Measurement

 13-1 Representing Sample Spaces Exercises p.918 13-2 Probability with Permutations and Combinations Exercises p.927 13-3 Geometric Probability Exercises p.934 Mid-Chapter Quiz p.938 13-4 Simulations Exercises p.943 13-5 Probabilities of Independent and Dependent Events Exercises p.951 Geometry Lab: Two-Way Frequency Tables p.955 13-6 Probabilities of Mutually Exclusive Events Exercises p.961 Geometry Lab: Graph Theory p.964 Study Guide & Review p.966 Practice Test p.969 Preparing for Standardized Tests p.971 Standardized Test Practice p.972