Preparing for the Regents Examination Geometry, AK
Preparing for the Regents Examination Geometry, AK
Preparing for the Regents Examination Geometry, AK
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Part IV<br />
For each question, use <strong>the</strong> specific criteria to award a maximum of 6 credits.<br />
38 Score Explanation<br />
6 The following proof or ano<strong>the</strong>r appropriate proof is given.<br />
Statements Reasons<br />
1. Parallelogram ABCD,<br />
with −−−<br />
ABG<br />
146 Practice <strong>Geometry</strong> <strong>Regents</strong> <strong>Examination</strong>s<br />
1. Given.<br />
2. −−<br />
AB −−−<br />
CD , −−−<br />
AG −−−<br />
CD 2. Definition of a parallelogram.<br />
3. MGB MDC 3. Alternate interior angles are congruent.<br />
4. BMG CMD 4. Vertical angles are congruent.<br />
5. M is <strong>the</strong> midpoint of −−<br />
BC . 5. Given.<br />
6. −−−<br />
BM −−−<br />
MC 6. Definition of midpoint.<br />
7. a BGM CDM 7. AAS AAS.<br />
8. −−<br />
BG −−−<br />
CD 8. CPCTC.<br />
9. −−<br />
AB −−−<br />
CD 9. Opposite sides of a parallelogram are congruent.<br />
10. b −−<br />
AB −−<br />
BG 10. Transitive postulate of congruence<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 correct statements and reasoning.<br />
3 An appropriate proof with correct conclusion is shown, but no conclusion is made<br />
<strong>for</strong> −−<br />
AB −−<br />
BG .<br />
2 An appropriate proof with correct conclusion is used, but multiple reasons are faulty or<br />
multiple steps are missing or have errors.<br />
1 BGM CDM and −−<br />
AB −−<br />
BG , and a reason is given, but no appropriate proof is<br />
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.