Preparing for the Regents Examination Geometry, AK
Preparing for the Regents Examination Geometry, AK Preparing for the Regents Examination Geometry, AK
20 Score Explanation 6 The following proof or another appropriate proof is given. Statements Reasons 1. AE CE 1. Given. 2. ___ AE ___ CE 2. Congruent arcs have congruent chords. 3. ABE EBD 3. Congruent central angles have congruent chords. 4. −− FE is tangent to O at E. 4. Given. 5. FEB is a right angle. 5. Definition of a tangent. 6. FEB and BED are a linear pair. 7. FEB and BED are supplementary. 6. Definition of linear pair. 7. Two angles that form a linear pair are supplementary. 8. BED is a right angle. 8. A supplement to a right angle is a right angle. 9. Diameter −−− BOE 9. Given. 10. BCE is a semicircle. 10. Definition of a semicircle. 11. BAE is a right angle. 11. An angle inscribed in a semicircle is always a right angle. 12. BAE BED 12. Right angles are congruent. 13. ABE EBD 13. AA. 14. BE _ BA BD _ BE 14. Corresponding parts of similar triangles are in proportion. 5 An appropriate proof with correct conclusion is shown, but one reason is faulty and/or one statement is missing. 4 A faulty conclusion or no conclusion is drawn from the statements and reasoning. 3 An appropriate proof with correct conclusion is shown, but two reasons are faulty or two steps are missing. 2 An appropriate proof with correct conclusion is shown, but multiple reasons are faulty or multiple steps are missing or have errors. 1 BE _ BD BA _ , and a reason is given, but no appropriate method is shown. BE 0 A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. Chapters 1–14 137
Practice Regents Examination One (pages 483–489) Part I Allow a total of 56 credits, 2 credits for each of the following correct answers. Allow credit if the student has written the correct answer instead of the numeral 1, 2, 3, or 4. 1 (3) 1 _ 2 2 (2) 8 √ 2 3 (1) 1 _ b 2 2 4 (1) 48 5 (2) 8 √ 3 6 (2) 12 7 (4) r : 2 8 (4) 106 9 (1) 8 10 (3) AEC is a right angle. 138 11 (3) (9, 3) 12 (1) 6 13 (4) 16 : 81 14 (3) 18 15 (4) 1 16 (2) 26 17 (4) 16 18 (2) y 19 (2) 6 √ 2 20 (1) 86 21 (2) 18 22 (2) (0, 1) Part II For each question, use the specific criteria to award a maximum of 2 credits. 29 Score Explanation Practice Geometry Regents Examinations 23 (4) 4 24 (3) right 25 (2) 9 26 (3) x 3 27 (4) I and II only 28 (3) 1 _ V 8 2 (x 2) 2 (y 4) 2 2.25, and an appropriate explanation is given. 1 (x 2) 2 (y 4) 2 2.25, but no explanation is given. 0 A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure.
- 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: Chapters 1-5 (pages 446-449) Part I
- Page 107 and 108: Part IV For each question, use the
- Page 109 and 110: 20 Score Explanation 6 The followin
- Page 111 and 112: 17 Score Explanation 4 The followin
- Page 113 and 114: Part II For each question, use the
- Page 115 and 116: Part IV For each question, use the
- Page 117 and 118: Part III For each question, use the
- Page 119 and 120: Chapters 1-9 (pages 461-463) Part I
- Page 121 and 122: 19 Score Explanation 6 The followin
- Page 123 and 124: 12 Score Explanation 2 31, and an a
- Page 125 and 126: 20 Score Explanation 6 The followin
- 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: 20 Score Explanation 6 The followin
- Page 135 and 136: 16 Score Explanation 4 mADE 93, mB
- Page 137 and 138: 20 Score Explanation Chapters 1-14
- Page 139: Part IV For each question, use the
- 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: Part IV For each question, use the
Practice <strong>Regents</strong> <strong>Examination</strong> One<br />
(pages 483–489)<br />
<br />
Part I<br />
Allow a total of 56 credits, 2 credits <strong>for</strong> each of <strong>the</strong> following correct answers. Allow credit if <strong>the</strong> student has<br />
written <strong>the</strong> correct answer instead of <strong>the</strong> numeral 1, 2, 3, or 4.<br />
1 (3) 1 _<br />
2<br />
2 (2) 8 √ 2<br />
3 (1) 1 _ b<br />
2 2<br />
4 (1) 48<br />
5 (2) 8 √ 3<br />
6 (2) 12<br />
7 (4) r : 2<br />
8 (4) 106<br />
9 (1) 8<br />
10 (3) AEC is a<br />
right angle.<br />
138<br />
11 (3) (9, 3)<br />
12 (1) 6<br />
13 (4) 16 : 81<br />
14 (3) 18<br />
15 (4) 1<br />
16 (2) 26<br />
17 (4) 16<br />
18 (2) y<br />
19 (2) 6 √ 2 <br />
20 (1) 86<br />
21 (2) 18<br />
22 (2) (0, 1)<br />
Part II<br />
For each question, use <strong>the</strong> specific criteria to award a maximum of 2 credits.<br />
29 Score Explanation<br />
Practice <strong>Geometry</strong><br />
<strong>Regents</strong> <strong>Examination</strong>s<br />
23 (4) 4<br />
24 (3) right<br />
25 (2) 9<br />
26 (3) x 3<br />
27 (4) I and II only<br />
28 (3) 1 _ V<br />
8<br />
2 (x 2) 2 (y 4) 2 2.25, and an appropriate explanation is given.<br />
1 (x 2) 2 (y 4) 2 2.25, but no explanation is given.<br />
0 A zero response is completely incorrect, irrelevant, or incoherent or is a correct response<br />
that was obtained by an obviously incorrect procedure.
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