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
3 a
x y 7
136 Cumulative Reviews
y
10
9
8
7
6
5
4
3
2
1
3y 2x 6
7 6 5 4 3 2 1
1
1 2 3 4 5 6 7 8 9 10
y 2
2
3
4
5
6
7
x
0 A zero response is completely incorrect, irrelevant, or incoherent or is a correct response
that was obtained by an obviously incorrect procedure.
3 b 45, and an appropriate explanation is given.
2 An appropriate method is used, but a single computational error is made.
1 45, but no explanation is given.
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 Slope −−−
AX
1 and slope −−− 1. Since the slopes are negative reciprocals of each
ME
other, the lines are perpendicular. The midpoint of −−−
AX is
(4, 3), which is point E. Therefore, −−−
ME is the perpendicular bisector.
3 An appropriate method is used, but a single arithmetical error is made.
2 An appropriate method is used to show the lines are perpendicular, but no midpoint is
found.
0 A zero response is completely incorrect, irrelevant, or incoherent or is a correct response
that was obtained by an obviously incorrect procedure.
2 b Shows that MAX is isosceles by MX MA √ 68 , and an appropriate explanation
is given.
1 An appropriate method is used, but a single computational error is made.
0 A zero response is completely incorrect, irrelevant, or incoherent or is a correct response
that was obtained by an obviously incorrect procedure.