14 15 b C(3, 5), A(4, 7), R(7, 4) c C(5, 3), A(7, 4), R(4, 7) d c D" D''' I" K" 2 1 K' 11109 8 7 6 5 4 3 2 1 1 I''' 2 K''' 3 4 5 1 2 3 4 5 6 7 8 y 12 11 10 9 8 7 6 5 4 3 I K D I' D' 9 10 11 a K(6, 1), I(9, 2), D(10, 7) b K(6, 1), I(9, 2), D(10, 7) c K(1, 2), I(4, 1), D(5, 4) 10 9 8 7 6 A" R''' 5 4 3 R" A''' 2 1 J''' J" J' J 109 8 7 6 5 4 3 2 1 1 2 3 1 2 3 4 A' R' 5 6 7 A 8 9 10 4 5 R a J(1, 0), A(3, 1), R(2, 2) b J(0, 2), A(2, 6), R(4, 4) c J(2, 0), A(6, 2), R(4, 4) 6-8 Composition of Trans<strong>for</strong>mations (pages 117–119) 1 (3) R 200 2 (2) ___ AT 3 (1) (x, y) 4 (3) r y x D 3 5 (1) a direct isometry 6 (2) (x, y) 7 (4) (3, 8) 8 (4) D 9 (3) T 4, 0 10 (1) (x, y) 11 (3) orientation 12 N y x x 13 A 14 R 90 15 Any combination of three rotations, <strong>the</strong> sum of whose angles is 100 16 Any combination of two rotations, <strong>the</strong> sum of whose angles is 180 17 Glide reflection 18 (6, 1) 19 (2, 3) 20 (2, 7) 21 y 22 10 9 8 7 P' M y x 6 5 M' 4 3 P 2 C 1 C' 109 8 7 6 5 4 3 2 1 1 C" 2 3 4 1 2 3 4 5 6 7 8 9 10 M" 5 6 7 P" 8 9 10 C(2, 1), M(7, 5), P(4, 8) C(2, 1), M(7, 5), P(4, 8) d r y x Y' 10 9 8 7 6 5 Y X" X 4 3 2 X' Z' 1 Z 109 8 7 6 5 4 3 2 1 1 1 2 3 4 5 6 7 8 9 10 2 3 4 5 Y" y x 6 7 8 9 10 Z" X(5, 3), Y(2, 6), Z(7, 1) X(3, 5), Y(6, 2), Z(1, 7) d (1) rotation Chapter Review (pages 119–121) 1 (1) I 2 (1) WOW 3 (3) parallel to <strong>the</strong> y-axis 4 (3) (5, 2) y Chapter Review 33 x x
5 (3) (x, y) → (x, 2y) 6 (1) translation 7 (1) rotation 8 (1) A 9 (4) D 10 (2) (5, 4) 11 (3) reflection in <strong>the</strong> line y x 12 (2) (x, y) → (4x, 2y) 13 (4) y 0 14 (3) r x 1 r y-axis 15 (1) _ 1 2 16 (4) 17 (3) (6, 1) 18 5 19 13 20 2 √ 10 21 13 22 3 √ 10 23 (1, 1) 24 (2, 6) 25 (3, 0) 26 (4, 1) 27 r y x (1, 8) (8, 1) Polygon Sides and Angles 7-1 Basic Inequality Postulates (pages 125–126) Note: Since <strong>the</strong>re are many variations of proofs, <strong>the</strong> following is simply one set of acceptable statements to complete each proof. Depending on <strong>the</strong> textbook used, <strong>the</strong> wording and <strong>for</strong>mat of reasons may differ, so <strong>the</strong>y have not been supplied <strong>for</strong> <strong>the</strong> method of congruence applied 34 Chapter 7: Polygon Sides and Angles 28 (4, 9) 29 a (2, 2) b (4, 0) c (2, 2) d (2, 2) e (3, 2) 30 a and c H C 10 8 6 4 2 14 12 10 8 6 4 2 2 4 6 8 10 12 T"(8, 2) 14 2 b r y x C"(2, 10) 4 6 8 10 y T C'(4, 3) CHAPTER 7 T'(9, 1) H'(10, 3) in each problem. (These solutions are intended to be used as a guide— o<strong>the</strong>r possible solutions may vary.) 1 1. m1 m2 2. m2 m1 3. m2 m3 4. m3 m2 5. m3 m1 ( Transitive postulate of inequality) 6. m1 m3 H"(10, 10) x
- Page 1 and 2: ANSWER KEY Preparing for the REGENT
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- Page 41 and 42: 6. mDAB mCAD mDCB mACD 7. mCAB
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8. mHCT 1 _ m 2 TH mCHT 1 _ CT 2
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16 a (2 √ 2 , 2 √ 2 ), (2 √
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15 a Use constructing a congruent a
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5 Two horizontal lines y 11 and y
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Each review has a total of 58 possi
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Part III For each question, use the
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Chapters 1-3 (pages 438-441) Part I
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Part IV For each question, use the
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16 Score Explanation 4 a 91, b 35
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Chapters 1-5 (pages 446-449) Part I
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Part IV For each question, use the
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20 Score Explanation 6 The followin
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17 Score Explanation 4 The followin
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Part II For each question, use the
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Part IV For each question, use the
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Part III For each question, use the
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Chapters 1-9 (pages 461-463) Part I
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19 Score Explanation 6 The followin
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12 Score Explanation 2 31, and an a
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20 Score Explanation 6 The followin
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16 Score Explanation 4 DN √ 106
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20 Score Explanation 2 a 3, and an
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17 Score Explanation 4 6 √ 5 , a
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20 Score Explanation 6 The followin
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16 Score Explanation 4 mADE 93, mB
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20 Score Explanation Chapters 1-14
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Part IV For each question, use the
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Practice Regents Examination One (p
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36 Score Explanation 4 36, and an a
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32 Score Explanation 2 108, and an
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Part II For each question, use the
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Part IV For each question, use the