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