Mathematics B Regents High School Examination Worksheet- University Of The State Of New York, 2007 Page 20

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Part IV
Answer all questions in this part. Each correct answer will receive 6 credits. Clearly indicate the
necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all
questions in this part, a correct numerical answer with no work shown will receive only 1 credit. [
]
12
33 Given: quadrilateral ABCD with vertices A(−2,2), B(8,−4), C(6,−10),
and D(−4,−4).
State the coordinates of A′B′C′D′, the image of
1
quadrilateral ABCD under a dilation of factor . Prove that A′B′C′D′
2
is a parallelogram. [The use of the grid on the next page is optional.]
[20]
Math. B – June ’07

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