Question

question 17 of 25
which of the following is the perpendicular bisector theorem?

a. if a point is proportional from the endpoints of the segment, then it lies on the perpendicular bisector of that segment.

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

c. if a point is equidistant from the endpoints of the segment, then it lies on the perpendicular bisector of that segment.

d. if a point is on the perpendicular bisector of a segment, then it is proportional from the endpoints of the segment.

Explanation:

The Perpendicular Bisector Theorem states that any point lying on the perpendicular bisector of a segment is equidistant from the two endpoints of that segment. Option C describes the converse of the theorem, while options A and D use the incorrect term "proportional" instead of "equidistant".

Answer:

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