Math Geometry Problems, Online Education

 Problem 178. Quadrilateral, Trisection of sides, Area, Tutoring.

In the figure below, ABCD is a quadrilateral of area S with the points E, F, G, H, M, N, P, and Q trisecting the sides. Lines EN, FM, GQ and HP determine the shaded quadrilateral of area S1. Prove that S1 = S/9.
 

Quadrilateral with trisection of sides
 
 
 


 

Typography of problem 178

Sketch of Geometry Problem 1315: Triangle, Incircle, Tangent, Chord, Circle, Congruence, iPad Apps
 

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Segment Trisection
 
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