Angle Bisector Theory: If a point is on the Angle bisector of an angle, then it must be equidistant from the sides of the angle.

Angle Bisector Theory: If a point is on the Angle bisector of an angle, then it must be equidistant from the sides of the angle.

PROOF

Statement         Reason CB bisects ABA1        Given <ABC = <CBA1        Definition of angle bisector CB=CB          Reflexive <CAB=<CA1B        Definition of perpendicular bisector Triangle A1CB=ABC       AAS A1C=AC          CPCTC