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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. −−<br />

AC −−<br />

BD 1. Given.<br />

2. −−<br />

AC −−<br />

BC −−<br />

BD −−<br />

BC 2. Subtraction postulate.<br />

3. −−<br />

AB −−−<br />

CD 3. Partition postulate.<br />

4. −−<br />

GB −−−<br />

AD ; −−<br />

EC −−−<br />

AD 4. Given.<br />

5. GBA and ECD are right angles. 5. Definition of perpendicular lines.<br />

6. GBA ECD 6. Right angles are congruent.<br />

7. AGB DEC 7. Given.<br />

8. AGB DEC 8. AAS AAS.<br />

9. A D 9. CPCTC.<br />

10. −−<br />

AF −−<br />

DF 10. Converse of isosceles triangle <strong>the</strong>orem.<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 three reasons are faulty or<br />

three steps are missing.<br />

2 An appropriate proof with correct conclusion is used, but more than three reasons are<br />

faulty or more than three steps are missing or have errors.<br />

1 −−<br />

AF −−<br />

DF 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.<br />

Chapters 1–5 105

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