Online Geometry Problems

Online Geometry Problem 795: Intersecting Circles, Common Chord, Midpoint, Tangent, Secant Line, Perpendicular, 90 Degrees. Level: High School, SAT Prep, College, Mathematics Education

The circles O and Q intersect at A and B (see the figure). M is the midpoint of AB and CAD is a secant line. The tangents at C and D meet at E. BF is perpendicular to CE and BG is perpendicular to DE. If FG cuts CD at H, prove that MH is perpendicular to FG.

Intersecting Circles, Tangent, Secant Line, Chord, Midpoint, Perpendicular, 90 Degrees


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