BCD is a parallelogram with diagonals intersecting at F. FE is parallel to CD. AC is extended to P so that PC = 2AC and AD is extended to Q so that DQ = 2AD. Prove that PQ is parallel to FE without using the midpoint theorem

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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ABCD is a parallelogram with diagonals intersecting at F. FE is parallel to CD. AC is extended to P so that PC = 2AC and AD is extended to Q so that DQ = 2AD.

Prove that PQ is parallel to FE without using the midpoint theorem.

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Transcribed Image Text:P T Q Search C B N F CE hp A 3 D Q IN
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