Question

if a point lies on the perpendicular bisector of a line segment, then it is equidistant from the endpoints of the segment.
converse of the perpendicular bisector theorem
angle bisector theorem
perpendicular bisector theorem
equidistant

1. choose the definition or theorem with the correct words.

if a point in the interior of an angle is equidistant from both sides of the angle, then the point lies on the bisector of the angle.
equidistant
angle bisector theorem
converse of the perpendicular bisector theorem
converse of the angle bisector theorem

Explanation:

The Angle Bisector Theorem states that if a point is on the bisector of an angle, then it is equidistant from the sides of the angle. The Converse of the Angle Bisector Theorem states that if a point in the interior of an angle is equidistant from both sides of the angle, then the point lies on the bisector of the angle.

Answer:

Converse of the Angle Bisector Theorem