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.