Use the Law of Detachment to make a conclusion. If a point is on the perpendicular bisector of a line segment, then the point is equidistant from the segment’s endpoints. The midpoint of AB¯¯¯¯¯¯¯¯ is X. XY−→− is perpendicular to AB¯¯¯¯¯¯¯¯. Point L is on XY−→−.