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Printed: February 25, 2015 iii Contents www.ck12.org Contents 1 Basics of Geometry, Answer Key1 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 iv www.ck12.org 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 v Contents www.ck12.org 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 vi www.ck12.org Chapter 1. Basics of Geometry,