

Problem 527: Circle, Tangent, Secant, Chord, Midpoint, Measurement. Level: High School, SAT Prep, College
Geometry

The figure shows a circle O with a tangent
AB and a secant ACD. A chord CE and AB extended meet at F. A chord DG
extended meets AB at H. The chord GE and AB extended meet at M. If B is
the midpoint of FH, prove that B is the midpoint of AM.
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