Question: M is the middle point of the side AB of the parallelogram ABCD. Prove analytically that the line MC and the diagonal BD trisect each other.

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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Question: M is the middle point of the side AB of the parallelogram ABCD. Prove analytically that the line MC and the diagonal BD trisect each other.

 

Thank you. I know how to prove this geometrically, but struggling to prove it analytically. Thanks!! 

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