Math Geometry Problems, Online Education

 Problem 175. Quadrilateral with Midpoints, Areas.

In the figure below, ABCD is a quadrilateral with E, F, G, and H, midpoints of AB, BC, CD, and AD respectively. Lines AF, BG, CH and DE determine the shaded regions of areas S1, S2, S3, and S4. Prove that S1 + S2 = S3 + S4. View or post a solution.
 

Quadrilateral Area with midpoints
 

  


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