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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.

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