**5.1: Perpendicular and Angle Bisectors**

**Definitions:**

Equidistant- One point is the same distance from two or more objects

Equidistant

**Locus**- A set of points that satisfies a given condition

**Theorems:**

**Perpendicular Bisector Theorem**- If a point is one the perpendicular bisector of a segment then in is equidistant from the endpoints of the segement

**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 segmen

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

**Converse of the 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

**Examples:**