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Is GA tangent to K at point A ?

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September 14, 2010
geometry proposedgeometry

Problem Statement

Let CDCD be a diameter of circle KK. Let ABAB be a chord that is parallel to CDCD. The line segment AEAE, with EE on KK, is parallel to CBCB; FF is the point of intersection of line segments ABAB and DEDE. The line segment FGFG, with GG on DCDC, extended is parallel to CBCB. Is GAGA tangent to KK at point A \?
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