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Definition of a Bisector
A ray which divides an angle into two congruent parts

Angle Bisector Theorem
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If ray BF is an angle bisector, then m(a)CBF = m(a)FBA = 1/2m(a) CBA

Segment Bisector
A plane, point, line, ray or segment which divides a segment into two congruent parts. One of the segments formed by a segment bisector is equal in length to half the length of the original segment.

