Preparing for the Regents Examination Geometry, AK

Part IV
For each question, use the specific criteria to award a maximum of 6 credits.
18 Score Explanation
1 a (4, 1)
1 b √
10
2 c y 3x 13
2
d Slope −−−
MD
112 Cumulative Reviews
1 _ , slope of the median is 3. The slopes are negative
3
reciprocals; therefore, the median is perpendicular to −−−
MD .
0 A zero response is completely incorrect, irrelevant, or incoherent or is a correct response
that was obtained by an obviously incorrect procedure.
19 Score Explanation
4 a Altitude from D to −−
AC is x 0. Altitude from C to −−−
AD is y 1 _ x 3.
2
Altitude from A to −−−
CD is y x 3.
3 a An appropriate method is used, but one computational error is made.
2 a An appropriate method is used, but multiple computational errors are made.
1 a The altitudes are identified, but no explanation is given.
2 b (0, 3), and appropriate work is shown.
1 b (0, 3), but no work 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.
20 Score Explanation
6 The following proof or another appropriate proof is given.
Statements Reasons
1. ABC, −−
AB −−
BC 1. Given.
2. ABC is isosceles. 2. Definition of isosceles triangle.
3. A C 3. Definition of isosceles triangle.
4. mC mT 4. Definition of an exterior angle.
5. mA mT 5. Substitution postulate.
6. PT AP 6. Greater side opposite greater angle.
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 multiple reasons are faulty
or multiple steps are missing or have errors.