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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."