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Geometry Problem 960. Quadrilateral, Trisection, Sides, Congruence, Similarity, Triangle

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The figure below shows a quadrilateral ABCD. Points E, F, G, H, M, N, P, and Q trisect the sides (divide each side into three equal parts). Prove that EN and FM trisect QG and PH, respectively, similarly PH and QG trisect EN and FM.

 

Geometry Problem 960: Quadrilateral, Trisection, Sides, Congruence, Similarity, Triangle

 

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