Which theorem explains why the circumcenter is equidistant from the vertices of a triangle? a. vertical angles theorem b. concurrency of perpendicular bisectors theorem c. concurrency of angle bisector theorem d. alternate interior angles theorem

The theorem that explains why the circumcenter of a triangle will be equidistant from all three vertices of a triangle is: Concurrency of Perpendicular Bisectors Theorem

Recall:

Therefore, the theorem that explains why the circumcenter of a triangle will be equidistant from all three vertices of a triangle is: Concurrency of Perpendicular Bisectors Theorem

Learn more about Concurrency of Perpendicular Bisectors Theorem on:

link

The concurrency of perpendicular bisector theorem explains how all radii of a circle are the same, so from the circumcenter of the circle the vertices of the triangle would also all be the same.

table 3 represents a direct variation function. : )