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Geometry Problem 1368: Equilic Quadrilateral, 120 Degrees, Congruence, Midpoint, Diagonal, Equilateral Triangle

Proposition

In the figure below ABCD is an equilic quadrilateral. Prove that the midpoints E, G, and H of the diagonals and the side AD always determine an equilateral triangle.




Geometry Problem 1368 Equilic quadrilateral

 

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