Preparing for the Regents Examination Geometry, AK

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Compositor: Monotype LLC Please visit our Web site at: www.amscopub.com Copyright © 2008 by Amsco School Publications, Inc. No part of this book may be reproduced in any form without written permission from the publisher. Printed in the United States of America 1 2 3 4 5 6 7 8 9 10 12 11 10 09 08 07
Contents Chapter 1: Essentials of Geometry 1 Chapter 2: Logic 3 Chapter 3: Introduction to Geometric Proof 8 Chapter 4: Congruence of Lines, Angles, and Triangles 12 Chapter 5: Congruence Based on Triangles 18 Chapter 6: Transformations and the Coordinate Plane 28 Chapter 7: Polygon Sides and Angles 34 Chapter 8: Slopes and Equations of Lines 39 Chapter 9: Parallel Lines 44 Chapter 10: Quadrilaterals 56 Chapter 11: Geometry of Three Dimensions 68 Chapter 12: Ratios, Proportion, and Similarity 72 Chapter 13: Geometry of the Circle 79 Chapter 14: Locus and Constructions 87 Cumulative Reviews 92 Practice Geometry Regents Examinations 138
Page 1: ANSWER KEY Preparing for the REGENT
Page 5 and 6: 1-4 Angles (pages 9-10) 1 (4) It is
Page 7 and 8: 6 True 7 True 8 True 9 True 10 Answ
Page 9 and 10: 3 1. e ∨ ~f 2. ~f → g 3. ~e 4.
Page 11 and 12: CHAPTER 3 3-1 Inductive Reasoning (
Page 13 and 14: 6. BAC DAE 6. Transitive property.
Page 15 and 16: CHAPTER 4-1 Setting Up a Valid Proo
Page 17 and 18: 6 Given: BA bisects CBE 1 2 2 4
Page 19 and 20: 1 1. −−−− ABCD 2. 1 2 3. _
Page 21 and 22: 18 1. I is the midpoint of −− E
Page 23 and 24: 5-3 Isosceles and Equilateral Trian
Page 25 and 26: 12. −−− HG −−− DC 13.
Page 27 and 28: 5 1. −− FG is the perpendicular
Page 29 and 30: Chapter Review (pages 84-85) Note:
Page 31 and 32: 20 Use constructing congruent angle
Page 33 and 34: 6-3 Line Reflections and Symmetry (
Page 35 and 36: 11 A(0, 8), B(2, 2), C(6, 4) (8) 10
Page 37 and 38: 5 (3) (x, y) → (x, 2y) 6 (1) tran
Page 39 and 40: 11. mABC mADC 12. 2mABD 2mADB 13.
Page 41 and 42: 6. mDAB mCAD mDCB mACD 7. mCAB
Page 43 and 44: g e 17 a _ f d b Undefined c a _
Page 45 and 46: 5 BIG is isosceles because it has t
Page 47 and 48: ___ 27 a M KA (5, 1), M ___ AT (4
Page 49 and 50: 8 106 9 mA 75, mC 67 10 57 11 60
Page 51 and 52: 9-5 The Sum of the Measures of the
Page 53 and 54:
9-7 The Converse of the Isosceles T
Page 55 and 56:
12 1. ___ CE ___ BA , ___ BD ___
Page 57 and 58:
12 a mx 45, my 45 b mx 98, my 8
Page 59 and 60:
Quadrilaterals 10-2 The Parallelogr
Page 61 and 62:
7. MAD RCB 8. MAD RCB (SAS SAS)
Page 63 and 64:
5. RSQ TSV (Vertical angles) 6. QR
Page 65 and 66:
3 4x 2 3x 3 x 5 RS 18 4 Perime
Page 67 and 68:
Note: Since there are many variatio
Page 69 and 70:
28 Enclose PAT in a large rectangle
Page 71 and 72:
Geometry of Three Dimensions 11-1 P
Page 73 and 74:
11-6 Volume of a Prism (pages 269-2
Page 75 and 76:
14 47.5 in. 2 15 h 4 in. 16 25 cm
Page 77 and 78:
14 a 3 : 2 b QR 10, RS 20, ST 12
Page 79 and 80:
4. A A 5. ADE ABC b (AA) AC _ AB
Page 81 and 82:
12 7 √ 2 13 4 14 5 √ 3 15 x
Page 83 and 84:
13-2 Arcs and Chords (pages 350-351
Page 85 and 86:
27 1. Common external tangents, −
Page 87 and 88:
8. mHCT 1 _ m 2 TH mCHT 1 _ CT 2
Page 89 and 90:
16 a (2 √ 2 , 2 √ 2 ), (2 √
Page 91 and 92:
15 a Use constructing a congruent a
Page 93 and 94:
5 Two horizontal lines y 11 and y
Page 95 and 96:
Each review has a total of 58 possi
Page 97 and 98:
Part III For each question, use the
Page 99 and 100:
Chapters 1-3 (pages 438-441) Part I
Page 101 and 102:
Part IV For each question, use the
Page 103 and 104:
16 Score Explanation 4 a 91, b 35
Page 105 and 106:
Page 107 and 108:
Page 109 and 110:
20 Score Explanation 6 The followin
Page 111 and 112:
Page 113 and 114:
Part II For each question, use the
Page 115 and 116:
Page 117 and 118:
Part III For each question, use the
Page 119 and 120:
Page 121 and 122:
Page 123 and 124:
12 Score Explanation 2 31, and an a
Page 125 and 126:
Page 127 and 128:
16 Score Explanation 4 DN √ 106
Page 129 and 130:
20 Score Explanation 2 a 3, and an
Page 131 and 132:
17 Score Explanation 4 6 √ 5 , a
Page 133 and 134:
Page 135 and 136:
16 Score Explanation 4 mADE 93, mB
Page 137 and 138:
20 Score Explanation Chapters 1-14
Page 139 and 140:
Page 141 and 142:
Practice Regents Examination One (p
Page 143 and 144:
36 Score Explanation 4 36, and an a
Page 145 and 146:
32 Score Explanation 2 108, and an
Page 147 and 148:
Part II For each question, use the
Page 149:
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