Answer
In order to do this proof, we must prove that the two sides formed are congruent. It is said that the line is perpendicular, so two 90 degrees angles are formed. One common side is shared, and it is congruent to itself by the identity property. The set of sides drawn in to create the triangle are both equal to the radius, so they are also congruent. Thus, by the Pythagorean theorem, the third set of sides is congruent. Thus, it follows that this line bisects the chord and its minor arc by the definition of a bisector.
