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FG touches the inscribed circle of the square.

Source: 1960 Hungary - Kürschák Competition p3

October 10, 2022
squaregeometry

Problem Statement

EE is the midpoint of the side ABAB of the square ABCDABCD, and F,GF, G are any points on the sides BCBC, CDCD such that EFEF is parallel to AGAG. Show that FGFG touches the inscribed circle of the square.
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