Math Geometry Problems, Online Education

 Problem 176. Quadrilateral with Midpoints, Triangles, 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 S, S1, S2, S3, and S4. Prove that S = S1 + S2 + S3 + S4. View or post a solution.
 

Geometry problem 176, Quadrilateral with midpoints
 

  


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