Tuesday 21 January 2014

D, H, F, G are concyclic

Let ABCD be a cyclic quadrilateral whose diagonals AC and BD meet at E. The extensions
of the sides AD and BC beyond A and B meet at F. Let G be the point such that ECGD
is a parallelogram, and let H be the image of E under reflection in AD.
Prove that D, H, F, G are concyclic.

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