Perpendicular and Angle Bisectors

Perpendicular and Angle Bisectors

Let's review!

Perpendicular Bisector

A line, segment, or ray that divides a line segment in half at 90 degree angles.

Perpendicular Bisector Theorem

If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

Multiple Choice

Can you use the Perpendicular Bisector Theorem on this image?

• Yes

• No

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 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.