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# Geometry 5.1 Proofs

### Proof Memorization & Practice

Perpendicular Bisector Theorem If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
Converse of the Perpendicular Bisector Theorem If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.
Angle Bisector Theorem If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle.
Converse of the Angle Bisector Theorem If a point in the interior of an angle and is equidistant from the sides of the angle, then it lies on the bisector of the angle.
Created by: AB93