Problem 402. Hexagon, Triangle, Centroid, Parallel, Congruence, Similarity. Level: High School, College, SAT Prep.
The figure shows a hexagon ABCDEF. G,
H, J, K, L, and M are the centroids of triangles ABC, BCD, CDE,
DEF, EFA, and FAB, respectively. Prove that the hexagon GHJKLM
has opposite sides parallel and of equal length.