Preparing for the Regents Examination Geometry, AK
Preparing for the Regents Examination Geometry, AK Preparing for the Regents Examination Geometry, AK
19 Score Explanation 6 The following proof or another appropriate proof is given. Statements Reasons 1. ABC is isosceles. 1. Given. 2. −− AB −− AC 2. Definition of isosceles triangle. 3. AMC is isosceles. 3. Given. 4. −−− AM −−− CM 4. Definition of isosceles triangle. 5. −−− PM −−− QM 5. Given. 6. −−− AM −−− QM −−− CM −−− PM 6. Addition postulate. 7. −−− AQ −− CP 7. Partition postulate. 8. BAC BCA 8. Isosceles triangle theorem. 9. MAC MCA 9. Isosceles triangle theorem. 10. BAC MAC BCA MCA 10. Subtraction postulate. 11. BAM BCP 11. Partition postulate. 12. ABQ CBP 12. SAS SAS. 5 An appropriate proof with correct conclusion is shown, but one reason is faulty and/or one statement is missing. 4 A faulty conclusion or no conclusion is drawn from the statements and reasoning. 3 An appropriate proof with correct conclusion is shown, but two reasons are faulty or two steps are missing. 2 An appropriate proof with correct conclusion is used, but more than two reasons are faulty or more than two steps are missing or have errors. 1 ABQ CBP and a reason is given, but no appropriate method is shown. 0 A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. Chapters 1–12 129
20 Score Explanation 6 The following proof or another appropriate proof is given. 130 Cumulative Reviews Statements Reasons 1. Parallelogram ABCD 1. Given. 2. A C 2. Opposite angles of a parallelogram are congruent. 3. m1 m2 3. Given. 4. 1 2 4. Angles with equal measures are congruent. 5. 1 and 4 are a linear pair. 2 and 3 are a linear pair. 6. 1 and 4 are supplementary. 2 and 3 are supplementary. 5. Definition of linear pair. 6. Two angles that form a linear pair are supplementary. 7. 3 4 7. Supplements of congruent angles are congruent. 8. AFE CHG 8. AA. 9. FE _ FA GH _ CH 9. Corresponding parts of similar triangles are in proportion. 10. FE CH GH FA 10. The product of means equals the product of extremes. 5 An appropriate proof with correct conclusion is shown, but one reason is faulty and/or one statement is missing. 4 A faulty conclusion or no conclusion is drawn from the statements and reasoning. 3 An appropriate proof with correct conclusion is shown, but two reasons are faulty or two steps are missing. 2 An appropriate proof with correct conclusion is used, but more than two reasons are faulty or more than two steps are missing or have errors. 1 FE CH GH FA and a reason is given, but no appropriate method is shown. 0 A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. Chapters 1–13 (pages 473–475) Part I Allow a total of 20 credits, 2 credits for each of the following correct answers. Allow credit if the student has written the correct answer instead of the numeral 1, 2, 3, or 4. 1 (4) ABD CDB 2 (2) a median 3 (1) 12 4 (1) 1 : 2 5 (1) 2 6 (3) R 270 7 (1) 30 8 (1) 12 9 (3) III and IV 10 (4) −− TA −− TO
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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. ABC is isosceles. 1. Given.<br />
2. −−<br />
AB −−<br />
AC 2. Definition of isosceles triangle.<br />
3. AMC is isosceles. 3. Given.<br />
4. −−−<br />
AM −−−<br />
CM 4. Definition of isosceles triangle.<br />
5. −−−<br />
PM −−−<br />
QM 5. Given.<br />
6. −−−<br />
AM −−−<br />
QM −−−<br />
CM −−−<br />
PM 6. Addition postulate.<br />
7. −−−<br />
AQ −−<br />
CP 7. Partition postulate.<br />
8. BAC BCA 8. Isosceles triangle <strong>the</strong>orem.<br />
9. MAC MCA 9. Isosceles triangle <strong>the</strong>orem.<br />
10. BAC MAC <br />
BCA MCA<br />
10. Subtraction postulate.<br />
11. BAM BCP 11. Partition postulate.<br />
12. ABQ CBP 12. SAS SAS.<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 ABQ CBP 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 1–12 129
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