![]() The point of intersection of the perpendicular bisectors in a triangle is called its circumcenter.They intersect the line segment exactly at its midpoint.They make an angle of 90° with the line that is being bisected.Divides the sides of a triangle into congruent parts.Divides a line segment or a line into two congruent segments.The important properties of a perpendicular bisector are listed below. Perpendicular bisectors can bisect a line segment or a line or the sides of a triangle. The perpendicular bisector of a triangle after construction is shown below.XY, HG, and PQ are the perpendicular bisectors of sides BC, AC, and AB respectively. All the three perpendicular bisectors make an angle of 90“ at the midpoint of each side. Repeat the same process for sides AB and AC.This is the perpendicular bisector for one side of the triangle BC. Label the points of intersection of arcs as X and Y respectively and join them.Repeat the same process without a change in radius with C as the center. ![]()
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