KöMaL 2015 B4684
The diagonals of a quadrilateral are perpendicular, they intersect at . From point , drop a perpendicular onto the line of each side. Consider the intersection of each perpendicular with the opposite side. Prove that the four points all lie on a circle centred at a point of the line segment connecting the midpoints of the diagonals.
Official text KöMaL. Quoted with source.
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