Which of the statements about the picture below are true? Check all that apply.

A. F is the circumcenter of the triangle.
B. F is the incenter of the triangle.
C. F is the point of concurrency of the perpendicular bisectors of the sides of the triangle.
D. F is the point of concurrency of the angle bisectors of the angles of the triangle.
E. F is equidistant from the angles of the triangle.
F. F is equidistant from the three sides of the triangle.