this is the question

I. Priya and Mal are trying to prove that if 2 chords are congruent, they are equidistant from the center of the circle. Priya draws this picture Mai adds the perpendicular segment from the center of the circle to each chord. Priya says, "I think we should try to use triangles because that is how we proved things congruent before," Mal says, "I think you're right, but how? Should we draw i some radii?" Help them complete the proof