Draw a triangle ABC, and let AM and BN be two of its medians. The medians intersect at G. Extend AM to the point P that makes GM MP. Prove that PBGC is a parallelogram. G

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.2: The Parallelogram And Kite
Problem 43E: Prove that the segment that joins the midpoints of two sides of a triangle has a length equal to...
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Draw a triangle ABC, and let AM and BN be two of its medians. The medians intersect at G.
Extend AM to the point P that makes GM
MP. Prove that PBGC is a parallelogram.
G
Transcribed Image Text:Draw a triangle ABC, and let AM and BN be two of its medians. The medians intersect at G. Extend AM to the point P that makes GM MP. Prove that PBGC is a parallelogram. G
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