Preparing for the Regents Examination Geometry, AK
Preparing for the Regents Examination Geometry, AK
Preparing for the Regents Examination Geometry, AK
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
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.