Problem 716. Intersecting Circles, Center, Radius, Perpendicular, 90
Degrees.
Level: High School, College, SAT Prep.
In the figure below, the circles O and O' intersect at A and B. C is a point on circle O, AC and BC meet circle O' at D and E, respectively. F is a point on circle O', AF and BF meet circle O at H and G, respectively. OC and O'F meet at L, CO meets HG at C', FO' meets DE at F', HG and DE meet at M. Prove that ML is perpendicular to C'F'.

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