Preparing for the Regents Examination Geometry, AK
Preparing for the Regents Examination Geometry, AK Preparing for the Regents Examination Geometry, AK
Part III For each question, use the specific criteria to award a maximum of 4 credits. 15 Score Explanation 2 a BCA ACD 2 b −−− AD −− AB 0 A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. 16 Score Explanation 4 The following proof or another appropriate proof is given. Statements Reasons 1. −− DB −− AC , −−− AD −−− DC 1. Given. 2. DBA and ADC are right angles. 3. 1 is complementary to x. 3. Given. 2. Definition of perpendicular lines. 4. m1 mx 90 4. Definition of complementary angles. 5. mx m2 mADC 5. Addition postulate. 6. mx m2 90 6. Substitution postulate. 7. m1 mx mx m2 7. Substitution postulate. 8. m1 m2 8. Subtraction postulate. 9. 1 2 9. Angles with equal measures are congruent. 3 An appropriate proof with correct conclusion is shown, but one reason is faulty and/or one statement is missing. 2 An appropriate proof with correct conclusion is used, but multiple reasons are faulty or multiple steps are missing or have errors. 1 1 2 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. 17 Score Explanation 2 a Since −−− CD bisects −− AB at E, −− AE −− BE . Given 1 2, and because vertical angles are congruent, AEC BED. Hence, by ASA, ACE BDE. 1 a A correct conclusion is reached and reason is given, but no appropriate method is shown. 2 b Given 1 2 and −− LN −−− MO . LNM and LNO are right angles. Since right angles are congruent, LNM LNO. −− LN −− LN by the reflexive property of congruence. Therefore, by ASA, LMN LON. 1 b A correct conclusion is reached and 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 1–5 103
Part IV For each question, use the specific criteria to award a maximum of 6 credits. 18 Score Explanation 6 The following proof or another appropriate proof is given. 104 Cumulative Reviews Statements Reasons 1. PET 1. Given. 2. −−− PCB −− ET ; −−− TCA −− EP 2. Given. 3. CBT and CAP are right angles. 3. Definition of perpendicular lines. 4. CBT CAP 4. Right angles are congruent. 5. ACP BCP 5. Vertical angles are congruent. 6. −− PA −− TB 6. Given. 7. ACP BCT 7. AAS AAS. 8. −− CP −− CT 8. CPCTC. 9. PCT is isosceles. 9. Definition of isosceles triangle. 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 three reasons are faulty or three steps are missing. 2 An appropriate proof with correct conclusion is used, but more than three reasons are faulty or more than three steps are missing or have errors. 1 PCT is isosceles 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.
- 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
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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: Chapters 1-5 (pages 446-449) Part I
- 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
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- Page 125 and 126: 20 Score Explanation 6 The followin
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- 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
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- Page 141 and 142: Practice Regents Examination One (p
- Page 143 and 144: 36 Score Explanation 4 36, and an a
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Part IV<br />
For each question, use <strong>the</strong> specific criteria to award a maximum of 6 credits.<br />
18 Score Explanation<br />
6 The following proof or ano<strong>the</strong>r appropriate proof is given.<br />
104 Cumulative Reviews<br />
Statements Reasons<br />
1. PET 1. Given.<br />
2. −−−<br />
PCB −−<br />
ET ; −−−<br />
TCA −−<br />
EP 2. Given.<br />
3. CBT and CAP are right<br />
angles.<br />
3. Definition of perpendicular lines.<br />
4. CBT CAP 4. Right angles are congruent.<br />
5. ACP BCP 5. Vertical angles are congruent.<br />
6. −−<br />
PA −−<br />
TB 6. Given.<br />
7. ACP BCT 7. AAS AAS.<br />
8. −−<br />
CP −−<br />
CT 8. CPCTC.<br />
9. PCT is isosceles. 9. Definition of isosceles triangle.<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 three reasons are faulty or<br />
three steps are missing.<br />
2 An appropriate proof with correct conclusion is used, but more than three reasons are<br />
faulty or more than three steps are missing or have errors.<br />
1 PCT is isosceles 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.
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