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Let ABCDEF be a convex hexagon. Let A'B'C'D'E'F' be the centroids of triangles FAB, ABC, BCD, CDE, DEF, EFA, respectively.

 

(a) Show that every pair of opposite sides in hexagon A'B'C'D'E'F' (namely A'B' and D'E', B'C' and E'F' and C'D' and F'A') are parallel and equal in length.

 

(b) Show that triangles A'C'E' and B'D'F' have equal areas.

 Mar 24, 2020
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Take a look at https://web2.0calc.com/questions/please-help_7172

 

Hope this helped!

 Mar 24, 2020

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