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Preparing for the Regents Examination Geometry, AK

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19 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 />

−−−<br />

EAB ; −−−<br />

DCF<br />

1. Given.<br />

2. −−<br />

AB −−−<br />

DC 2. Definition of a parallelogram.<br />

3. −−<br />

EB −−<br />

DF 3. Collinearity.<br />

4. AEH CFG 4. Alternate interior angles are congruent.<br />

5. BAH BCD 5. Opposite angles of a parallelogram are<br />

congruent.<br />

6. GCF and BCD are a linear<br />

pair. HAE and BAH are a<br />

linear pair.<br />

7. GCF and BCD are supplementary.<br />

HAE and BAH are<br />

supplementary.<br />

6. Definition of linear pair.<br />

7. Two angles that <strong>for</strong>m a linear pair are<br />

supplementary.<br />

8. GCF HAE 8. Supplements of congruent angles are<br />

congruent.<br />

9. a EAH FCG 9. AA.<br />

10. EA _<br />

AH<br />

FC<br />

_<br />

CG<br />

10. Corresponding parts of similar triangles are in<br />

proportion.<br />

11. b EA CG AH CG 11. The product of means equals <strong>the</strong> product of<br />

extremes.<br />

5 An appropriate proof with correct conclusion is shown, but one reason is faulty and/or<br />

one statement is missing.<br />

4 An appropriate proof with correct conclusion is shown <strong>for</strong> part a only.<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 EAH FCG and EA CG AH CG, and a reason is given, but no appropriate<br />

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 1–13 133

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