Question

question 10 of 25
which of the following is the statement below describing?
if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
a. converse of the angle bisector theorem
b. angle bisector theorem
c. converse of the perpendicular bisector theorem
d. perpendicular bisector theorem

Explanation:

The perpendicular - bisector theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. The converse of the angle - bisector theorem is about angles, not perpendicular bisectors of segments. The angle - bisector theorem is also about angles. The converse of the perpendicular - bisector theorem is the reverse statement: if a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.

Answer:

D. Perpendicular Bisector Theorem