define perpendicular bisector
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Perpendicular Bisector is a line or a segment perpendicular to a segment that passes through the midpoint of the segment. ... Any point on the perpendicular bisector is equidistant from the endpoints of the line segment.
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The perpendicular bisectors of a triangle are lines passing through the midpoint of each side which are perpendicular to the given side. A triangle's three perpendicular bisectors meet (Casey 1888, p. 9) at a point. known as the circumcenter (Durell 1928), which is also the center of the triangle's circumcircle.
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