Problem 148. Quadrilateral, Area, Midpoints.

In the figure below, ABCD is a quadrilateral of area S. E, F, G and H are the midpoints of the sides. If S1, S2, S3, and S4 are the areas of quadrilaterals AEOG, BEOF, CFOG and DGOH respectively, prove that: . View or post a solution.

pic.twitter.com/WGOmhNGYoh— José Luis da Vila (@jldavilaa01) August 7, 2017

pic.twitter.com/WGOmhNGYoh

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