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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 />

118 Cumulative Reviews<br />

Statements Reasons<br />

1. ABC is equilateral. 1. Given.<br />

2. mBAC 60 2. Interior angles of an equilateral<br />

triangle are 60.<br />

3. BCA and BCE are a linear pair. 3. Definition of linear pair.<br />

4. BCE is supplementary to BCA. 4. If two angles <strong>for</strong>m a linear pair, <strong>the</strong>n<br />

<strong>the</strong>y are supplementary.<br />

5. mBCA mBCE 180 5. Definition of supplementary angles.<br />

6. mBCE 120 6. Subtraction postulate.<br />

7. −−−<br />

CD bisects BCE. 7. Given.<br />

8. mDCE 1 _<br />

mBCE 8. Definition of angle bisector.<br />

2<br />

9. mDCE 60 9. Substitution.<br />

10. mDCE mBAC 10. Substitution.<br />

11. DCE BAC 11. Angles with equal measures are<br />

congruent.<br />

12. CD −−<br />

AB 12. Lines with congruent corresponding<br />

angles are parallel.<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 CD −−<br />

AB 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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