Let A’B’C’ be the midpoint triangle of triangle ABC. In other words, A’, B’, and C’ are the midpoints of segments BC, CA, and AB, respectively. Show that triangles A’B’C’ and ABC have the same centroid.

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
Section4.4: The Trapezoid
Problem 18E: Given: Isosceles ABE with AEBE; also, D and C are midpoints of AE and BE, respectively. Prove: ABCD...
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Let A’B’C’ be the midpoint triangle of triangle ABC. In other words, A’, B’, and C’ are the midpoints of segments BC, CA, and AB, respectively. Show that triangles A’B’C’ and ABC have the same centroid.

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