Go Geometry Problems

Problem 398: Parallelogram, Area, Similarity, Congruence

The figure shows a parallelogram ABCD of area S. AE = CF = AB/3, BG = DH = BC/3. Line CE intersects BH at M, and DG at N. Line AF intersects DG at P, and BH at Q. If S1 is the area of quadrilateral MNPQ, prove that S1 = S/13. .
 

Parallelogram Area
 


Geometric Art: Hyperbolic Kaleidoscope of problem 398 using iPad Apps

Geometric Art: Hyperbolic kaleidoscope of problem 398 using iPad Apps


 

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