CK-12 Geometry - Second - All-in-One High School

[Pages:170]CK-12 Geometry - Second Edition, Answer Key

CK-12 Foundation

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AUTHOR CK-12 Foundation

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Printed: February 25, 2015

iii

Contents



Contents

1 Basics of Geometry, Answer Key

1

1.1 Geometry - Second Edition, Points, Lines, and Planes, Review Answers . . . . . . . . . . . . . 2

1.2 Geometry - Second Edition, Segments and Distance, Review Answers . . . . . . . . . . . . . . 5

1.3 Geometry - Second Edition, Angles and Measurement, Review Answers . . . . . . . . . . . . . 7

1.4 Geometry - Second Edition, Midpoints and Bisectors, Review Answers . . . . . . . . . . . . . . 10

1.5 Geometry - Second Edition, Angle Pairs, Review Answers . . . . . . . . . . . . . . . . . . . . 13

1.6 Geometry - Second Edition, Classifying Polygons, Review Answers . . . . . . . . . . . . . . . 14

1.7 Geometry - Second Edition, Chapter Review Answers . . . . . . . . . . . . . . . . . . . . . . . 17

2 Reasoning and Proof, Answer Key

18

2.1 Geometry - Second Edition, Inductive Reasoning, Review Answers . . . . . . . . . . . . . . . . 19

2.2 Geometry - Second Edition, Conditional Statements, Review Answers . . . . . . . . . . . . . . 21

2.3 Geometry - Second Edition, Deductive Reasoning, Review Answers . . . . . . . . . . . . . . . 23

2.4 Geometry - Second Edition, Algebraic and Congruence Properties, Review Answers . . . . . . . 26

2.5 Geometry - Second Edition, Proofs about Angle Pairs and Segments, Review Answers . . . . . . 29

2.6 Chapter Review Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33

3 Parallel and Perpendicular Lines, Answer Key

34

3.1 Geometry - Second Edition, Lines and Angles, Review Answers . . . . . . . . . . . . . . . . . 35

3.2 Geometry - Second Edition, Properties of Parallel Lines, Review Answers . . . . . . . . . . . . 37

3.3 Geometry - Second Edition, Proving Lines Parallel, Review Answers . . . . . . . . . . . . . . . 40

3.4 Geometry - Second Edition, Properties of Perpendicular Lines, Review Answers . . . . . . . . . 42

3.5 Geometry - Second Edition, Parallel and Perpendicular Lines in the Coordinate Plane, Review

Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43

3.6 Geometry - Second Edition, The Distance Formula, Review Answers . . . . . . . . . . . . . . . 47

3.7 Chapter Review Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49

4 Triangles and Congruence, Answer key

50

4.1 Geometry - Second Edition, Triangle Sums, Review Answers . . . . . . . . . . . . . . . . . . . 51

4.2 Geometry - Second Edition, Congruent Figures, Review Answers . . . . . . . . . . . . . . . . . 53

4.3 Geometry - Second Edition, Triangle Congruence using SSS and SAS, Review Answers . . . . . 55

4.4 Geometry - Second Edition, Triangle Congruence using ASA, AAS, and HL, Review Answers . 58

4.5 Geometry - Second Edition, Isosceles and Equilateral Triangles, Review Answers . . . . . . . . 60

4.6 Chapter 4 Review Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63

5 Relationships with Triangles, Answer Key

64

5.1 Geometry - Second Edition, Midsegments of a Triangle, Review Answers . . . . . . . . . . . . 65

5.2 Geometry - Second Edition, Perpendicular Bisectors in Triangles, Review Answers . . . . . . . 67

5.3 Geometry - Second Edition, Angle Bisectors in Triangles, Review Answers . . . . . . . . . . . 71

5.4 Geometry - Second Edition, Medians and Altitudes in Triangles, Review Answers . . . . . . . . 73

5.5 Geometry - Second Edition, Inequalities in Triangles, Review Answers . . . . . . . . . . . . . . 75

5.6 Geometry - Second Edition, Extension: Indirect Proof, Review Answers . . . . . . . . . . . . . 76

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Contents

5.7 Chapter Review Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77

6 Polygons and Quadrilaterals, Answer Key

78

6.1 Geometry - Second Edition, Angles in Polygons, Review Answers . . . . . . . . . . . . . . . . 79

6.2 Geometry - Second Edition, Properties of Parallelograms, Review Answers . . . . . . . . . . . 81

6.3 Geometry - Second Edition, Proving Quadrilaterals are Parallelograms, Review Answers . . . . 83

6.4 Geometry - Second Edition, Rectangles, Rhombuses and Squares, Review Answers . . . . . . . 86

6.5 Geometry - Second Edition, Trapezoids and Kites, Review Answers . . . . . . . . . . . . . . . 89

6.6 Chapter Review Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91

7 Similarity, Answer Key

92

7.1 Geometry - Second Edition, Ratios and Proportions, Review Answers . . . . . . . . . . . . . . 93

7.2 Geometry - Second Edition, Similar Polygons, Review Answers . . . . . . . . . . . . . . . . . 94

7.3 Geometry - Second Edition, Similarity by AA, Review Answers . . . . . . . . . . . . . . . . . 95

7.4 Geometry - Second Edition, Similarity by SSS and SAS, Review Answers . . . . . . . . . . . . 96

7.5 Geometry - Second Edition, Proportionality Relationships, Review Answers . . . . . . . . . . . 97

7.6 Geometry - Second Edition, Similarity Transformations, Review Answers . . . . . . . . . . . . 99

7.7 Geometry - Second Edition, Extension: Self-Similarity, Review Answers . . . . . . . . . . . . . 101

7.8 Chapter Review Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103

8 Right Triangle Trigonometry, Answer Key

104

8.1 Geometry - Second Edition, The Pythagorean Theorem, Review Answers . . . . . . . . . . . . 105

8.2 Geometry - Second Edition, Converse of the Pythagorean Theorem, Review Answers . . . . . . 106

8.3 Geometry - Second Edition, Using Similar Right Triangles, Review Answers . . . . . . . . . . . 109

8.4 Geometry - Second Edition, Special Right Triangles, Review Answers . . . . . . . . . . . . . . 111

8.5 Geometry - Second Edition, Tangent, Sine and Cosine, Review Answers . . . . . . . . . . . . . 112

8.6 Geometry - Second Edition, Inverse Trigonometric Ratios, Review Answers . . . . . . . . . . . 113

8.7 Geometry - Second Edition, Extension: Laws of Sines and Cosines, Review Answers . . . . . . 114

8.8 Chapter Review Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115

9 Circles, Answer Key

116

9.1 Geometry - Second Edition, Parts of Circles and Tangent Lines, Review Answers . . . . . . . . 117

9.2 Geometry - Second Edition, Properties of Arcs, Review Answers . . . . . . . . . . . . . . . . . 119

9.3 Geometry - Second Edition, Properties of Chords, Review Answers . . . . . . . . . . . . . . . . 120

9.4 Geometry - Second Edition, Inscribed Angles, Review Answers . . . . . . . . . . . . . . . . . . 122

9.5 Geometry - Second Edition, Angles of Chords, Secants, and Tangents, Review Answers . . . . . 124

9.6 Geometry - Second Edition, Segments of Chords, Secants, and Tangents, Review Answers . . . 127

9.7 Geometry - Second Edition, Extension: Writing and Graphing the Equations of Circles, Review

Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 128

9.8 Chapter Review Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129

10 Perimeter and Area, Answer Key

130

10.1 Geometry - Second Edition, Triangles and Parallelograms, Review Answers . . . . . . . . . . . 131

10.2 Geometry - Second Edition, Trapezoids, Rhombi, and Kites, Review Answers . . . . . . . . . . 132

10.3 Geometry - Second Edition, Areas of Similar Polygons, Review Answers . . . . . . . . . . . . . 134

10.4 Geometry - Second Edition, Circumference and Arc Length, Review Answers . . . . . . . . . . 135

10.5 Geometry - Second Edition, Areas of Circles and Sectors, Review Answers . . . . . . . . . . . 136

10.6 Geometry - Second Edition, Area and Perimeter of Regular Polygons, Review Answers . . . . . 137

10.7 Chapter Review Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139

11 Surface Area and Volume, Answer Key

140

11.1 Geometry - Second Edition, Exploring Solids, Review Answers . . . . . . . . . . . . . . . . . . 141

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11.2 Geometry - Second Edition, Surface Area of Prisms and Cylinders, Review Answers . . . . . . 143 11.3 Geometry - Second Edition, Surface Area of Pyramids and Cones, Review Answers . . . . . . . 144 11.4 Geometry - Second Edition, Volume of Prisms and Cylinders, Review Answers . . . . . . . . . 146 11.5 Geometry - Second Edition, Volume of Pyramids and Cones, Review Answers . . . . . . . . . . 147 11.6 Geometry - Second Edition, Surface Area and Volume of Spheres, Review Answers . . . . . . . 148 11.7 Geometry - Second Edition, Exploring Similar Solids, Review Answers . . . . . . . . . . . . . 150 11.8 Chapter Review Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151

12 Rigid Transformations, Answer Key

152

12.1 Geometry - Second Edition, Exploring Symmetry, Review Answers . . . . . . . . . . . . . . . . 153

12.2 Geometry - Second Edition, Translations and Vectors , Review Answers . . . . . . . . . . . . . 155

12.3 Geometry - Second Edition, Reflections, Review Answers . . . . . . . . . . . . . . . . . . . . . 156

12.4 Geometry - Second Edition, Rotations, Review Answers . . . . . . . . . . . . . . . . . . . . . . 158

12.5 Geometry - Second Edition, Composition of Transformations, Review Answers . . . . . . . . . 162

12.6 Geometry - Second Edition, Extension: Tessellations, Review Answers . . . . . . . . . . . . . . 163

12.7 Chapter Review Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 164

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1 CHAPTER

Chapter 1. Basics of Geometry, Answer Key

Basics of Geometry, Answer Key

Chapter Outline

1.1

GEOMETRY - SECOND EDITION, POINTS, LINES, AND PLANES, REVIEW AN-

SWERS

1.2

GEOMETRY - SECOND EDITION, SEGMENTS AND DISTANCE, REVIEW ANSWERS

1.3

GEOMETRY - SECOND EDITION, ANGLES AND MEASUREMENT, REVIEW AN-

SWERS

1.4

GEOMETRY - SECOND EDITION, MIDPOINTS AND BISECTORS, REVIEW AN-

SWERS

1.5

GEOMETRY - SECOND EDITION, ANGLE PAIRS, REVIEW ANSWERS

1.6

GEOMETRY - SECOND EDITION, CLASSIFYING POLYGONS, REVIEW ANSWERS

1.7

GEOMETRY - SECOND EDITION, CHAPTER REVIEW ANSWERS

1

1.1. Geometry - Second Edition, Points, Lines, and Planes, Review Answers



1.1 Geometry - Second Edition, Points, Lines, and Planes, Review Answers

For 1-5, answers will vary. One possible answer for each is included.

1.

2.

3.

4.

5.

6. W X, YW , line m, XY and WY .

2

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