In the figure, P(-4,3), Q(-2,-4), R(k,-17/2) and S(1,2) are four points on a rectangular coordinate plane, where PQ // RS.  a) Find the value of k. b) Is PQRS a parallelogram? Show your reasoning.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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In the figure, P(-4,3), Q(-2,-4), R(k,-17/2) and S(1,2) are four points on a rectangular coordinate plane, where PQ // RS. 

a) Find the value of k.

b) Is PQRS a parallelogram? Show your reasoning.

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