If A is the center of the circle, then which statement explains how segment ED is related to segment FD?

Circle A with inscribed triangle EFG; point D is on segment EF, point H is on segment GF, segments DA and HA are congruent, and angles EDA and GHA are right angles.

A. segment ED ≅ segment FD because segment EF is perpendicular to a radius of circle a.
B. segment ED ≅ segment FD because arc EF ≅ arc GF.
C. segment ED ≅ segment FD because the inscribed angles that create the segments are congruent.
D. segment ED ≅ segment FD because the tangents that create the segment EF share a common endpoint.