Can the following quadrilateral be proven to be a parallelogram based on the given​ information?

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
Section10.4: Analytic Proofs
Problem 18E
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Can the following quadrilateral be proven to be a parallelogram based on the given​ information?
 
 
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