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The converse of the perpendicular bisector theorem states,

a. "any point on the perpendicular bisector of a segment is equidistant from the midpoint of the segment".
b. "any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment."
c. "any point equally distant from the endpoints of a segment lies on the perpendicular bisector of the segment".
d. "any point equally distant from the midpoint of a segment lies on the perpendicular bisector of the segment."

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"any point equally distant from the endpoints of a segment lies on the perpendicular bisector of the segment".
User Sukanta Bala
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