Which of the following is the perpendicular bisector theorem?

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

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

Solution:- Option B) is the right answer . "If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment."

Explanation:-

The perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the segment's both endpoints.

Option A) tells the converse of perpendicular theorem which states that if a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.

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