If A is the center of the circle, then which statement explains how segment GH is related to segment FH? 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.

segment GH ≅ segment FH because arc EF ≅ arc GF
segment GH ≅ segment FH because the inscribed angles that create the segments are congruent.
segment GH ≅ segment FH because the tangents that create the segment FG share a common endpoint.
segment GH ≅ segment FH because segment FG is perpendicular to a radius of circle A.