Answered: In the figure, P(-4,3), Q(-2,-4),…

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

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.CT: Test

Problem 15CT

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Question

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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