## 5.1 Perpendicular Angle Bisectors

Equidistant - when a point is the same distance from 2 or more objects.

5-1-1 Perpendicular Bisector Theorem- If a point is on the perpendicular bisector of a segment, then it is

equidistant from the endpoints of the segment.

5-1-2 Conv. of Perpendicular bisector Theorem- If a point is equidistant from the endpoints of a segment,

then it is on the perpendicular bisector of a segment.

5-1-3 Angle Bisector Theorem- If a point is on the bisector of an angle, then it is equidistant from the sides of

the angle.

5-1-4 Conv. of Angle Bisector Theorem- If a point in the interior of an angle is equidistant from the sides of

the angle, then it is on the bisector of the angle

5-1-1 Perpendicular Bisector Theorem- If a point is on the perpendicular bisector of a segment, then it is

equidistant from the endpoints of the segment.

5-1-2 Conv. of Perpendicular bisector Theorem- If a point is equidistant from the endpoints of a segment,

then it is on the perpendicular bisector of a segment.

5-1-3 Angle Bisector Theorem- If a point is on the bisector of an angle, then it is equidistant from the sides of

the angle.

5-1-4 Conv. of Angle Bisector Theorem- If a point in the interior of an angle is equidistant from the sides of

the angle, then it is on the bisector of the angle