Home Geometry Problems Art All Problems Visual Index 431-440 Semicircle Perpendicular Chords Solution / comment        By Antonio Gutierrez
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Problem 436: Tangent Circles, Diameter, Chord, Perpendicular, Congruence

The figure shows the circle 1 with diameter AB and circle 2 with diameter AC tangent at A. Line DFE is perpendicular to AB, the extension of AF intersect circle 1 at G, and line GMH is perpendicular to AB. Prove that chords AD and AM are congruent.


Tangent Circles, Chords, Perpendicular