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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. Isosceles ABC, with −−<br />

AB −−<br />

BC 1. Given.<br />

2. −−<br />

BD bisects ABC. 2. Given.<br />

3. ABD CBD 3. Definition of angle bisector.<br />

4. −−<br />

BD −−<br />

BD 4. Reflexive property of congruence.<br />

5. ABD CBD 5. SAS SAS.<br />

6. −−−<br />

AD −−−<br />

CD 6. CPCTC.<br />

7. −−<br />

BD bisects −−<br />

AC . 7. Definition of bisector.<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 −−<br />

BD bisects −−<br />

AC 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 />

20 Score Explanation<br />

1 a C<br />

1 b D<br />

2 c B<br />

2 d C<br />

0 A zero response is completely incorrect, irrelevant, or incoherent or is a correct<br />

response that was obtained by an obviously incorrect procedure.<br />

Chapters 1–7<br />

(pages 454–456)<br />

Part I<br />

Allow a total of 20 credits, 2 credits <strong>for</strong> each of <strong>the</strong> following correct answers. Allow credit if <strong>the</strong> student has<br />

written <strong>the</strong> correct answer instead of <strong>the</strong> numeral 1, 2, 3, or 4.<br />

1 (3) supplementary 6 (4) −−<br />

AB −−−<br />

RM<br />

2 (4) (0, 6) 7 (2) 3(b a)<br />

3 (1) 6 8 (1) B is <strong>the</strong> largest angle.<br />

4 (3) I and III only 9 (1) 15<br />

5 (2) 2 10 (1) x _<br />

2<br />

Chapters 1–7 109

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