Preparing for the Regents Examination Geometry, AK
Preparing for the Regents Examination Geometry, AK Preparing for the Regents Examination Geometry, AK
17 Score Explanation 4 51, and an appropriate explanation is given. 3 An appropriate method is used, but a single computational error is made. 2 An appropriate method is used, but multiple computational errors are made. 1 51, 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. Part IV For each question, use the specific criteria to award a maximum of 6 credits. 18 Score Explanation 3 a Slope −−− DA 1 _ , slope 3 −− 2 AR _ , slope 3 −− 1 RT _ , 3 −− TD is a vertical line. Since two sides have the same slope, −−− DA −− RT . DART is a trapezoid. 0 A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. 3 b AK TA, and an appropriate 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. 19 Score Explanation 3 a The following proof or another appropriate proof is given. Statements Reasons 1. −−− AD −− BE 1. Given. 2. −− AE −− BD 3. 2. Given. ___ DE ___ DE 3. Reflexive property of congruence. 4. ADE BED 4. SSS SSS. 5. BDE AED 5. CPCTC. 1 BDE AED and a reason is given, but no appropriate method is shown. 0 A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. 3 b The following proof or another appropriate proof is given. Statements Reasons 1. −−− AD −− BE 1. Given. 2. −− AE −− BD 2. Given. 3. −− AB −− AB 3. Reflexive property of congruence. 4. ADB BEA 4. SSS SSS. 5. FAB FBA 5. CPCTC. 1 FAB FBA and a reason is given, but no appropriate method is shown. 0 A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. Chapters 1–10 121
20 Score Explanation 6 The following proof or another appropriate proof is given. 122 Cumulative Reviews Statements Reasons 1. Quadrilateral ABCD and diagonal −−−− AFEC 1. Given. 2. −− BF −− AC , −− DE −− AC 2. Given. 3. BFA and DEC are right angles. 3. Definition of perpendicular lines. 4. BFA DEC 4. Right angles are congruent. 5. −− BF −− DE , −− AE −− CF 5. Given. 6. ADE CBF 6. SAS SAS. 7. −−− AD −− BC 7. CPCTC. 8. DAE BCF 8. CPCTC. 9. −−− AD −− BC 9. Alternate interior angles of two parallel lines are congruent. 10. ABCD is a parallelogram. 10. Definition of a parallelogram. 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 used, but more than two reasons are faulty or more than two steps are missing or have errors. 1 ABCD is a parallelogram and a reason is given, but no appropriate method is shown. 0 A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. Chapters 1–11 (pages 467–469) Part I Allow a total of 20 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 (1) b _ a 6 (3) 160 cm 2 (3) equilateral and equiangular 2 7 (1) 2 √ 6 3 (3) 120 4 (1) −− AC 5 (2) 9 8 (3) 3 _ 5 9 (3) The sphere is inscribed in the cube. 10 (1) parallelogram
- 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
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- 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: 12 Score Explanation 2 31, and an a
- 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
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- Page 135 and 136: 16 Score Explanation 4 mADE 93, mB
- Page 137 and 138: 20 Score Explanation Chapters 1-14
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20 Score Explanation<br />
6 The following proof or ano<strong>the</strong>r appropriate proof is given.<br />
122 Cumulative Reviews<br />
Statements Reasons<br />
1. Quadrilateral ABCD and<br />
diagonal −−−−<br />
AFEC<br />
1. Given.<br />
2. −−<br />
BF −−<br />
AC , −−<br />
DE −−<br />
AC 2. Given.<br />
3. BFA and DEC are right<br />
angles.<br />
3. Definition of perpendicular lines.<br />
4. BFA DEC 4. Right angles are congruent.<br />
5. −−<br />
BF −−<br />
DE , −−<br />
AE −−<br />
CF 5. Given.<br />
6. ADE CBF 6. SAS SAS.<br />
7. −−−<br />
AD −−<br />
BC 7. CPCTC.<br />
8. DAE BCF 8. CPCTC.<br />
9. −−−<br />
AD −−<br />
BC 9. Alternate interior angles of two parallel lines<br />
are congruent.<br />
10. ABCD is a parallelogram. 10. Definition of a parallelogram.<br />
5 An appropriate proof with correct conclusion is shown, but one reason is faulty and/or<br />
one statement is missing.<br />
4 A faulty conclusion or no conclusion is drawn from <strong>the</strong> statements and reasoning.<br />
3 An appropriate proof with correct conclusion is shown, but two reasons are faulty or<br />
two steps are missing.<br />
2 An appropriate proof with correct conclusion is used, but more than two reasons are<br />
faulty or more than two steps are missing or have errors.<br />
1 ABCD is a parallelogram and a reason is given, but no appropriate method is shown.<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.<br />
Chapters 1–11<br />
(pages 467–469)<br />
Part I<br />
Allow a total of 20 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 (1) b _<br />
a<br />
6 (3) 160 cm<br />
2 (3) equilateral and equiangular<br />
2<br />
7 (1) 2 √ 6 <br />
3 (3) 120<br />
4 (1) −−<br />
AC<br />
5 (2) 9<br />
8 (3) 3 _<br />
5<br />
9 (3) The sphere is inscribed in <strong>the</strong> cube.<br />
10 (1) parallelogram
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