Question

Geometry Question - Given: O is the center of the circle, segment OG is perpendicular to segment FH; Prove: segment FG = segment GH (reference diagram in picture)

Answer 1

The Solution:

The given figure is

Clearly, the right triangles: HOG and FOG are congruent.

And OG is a bisector of segment FH.

It follows that FG = GH since FG is congruent to GH.