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Geometry Problem 1367: Equilic Quadrilateral, 120 Degrees, Congruence, Midpoint, Diagonal, Equilateral Triangle

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




Geometry Problem 1367 Equilic quadrilateral

See also:
Etching and typography of problem 1367 using iPad Apps

 

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