IM2.7 T4 Chord Theorem

Lind, Jon
Using what you discovered in the last task, and what you know about congruent triangles, prove the following theorem. The perpendicular bisector of a chord bisects the central angle formed by the radii drawn to the endpoints of the chord. Illustrate your proof below, then describe your reasoning in words.

Describe your reasoning below, referring to your diagram. Try to use the words congruent, radius, chord, perpendicular bisector, corresponding parts, bisect, central angle.