The perpendicular bisector the a linesegment is the locus of every points that space equidistant from its endpoints.

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This theorem have the right to be used to recognize the center of a given circle through straightedge and also compass. Pick three points

, and on the circle. Due to the fact that the facility is equidistant from every one of them, that lies top top the bisector of segment and likewise on the bisector that segment , i.e., the is the intersection allude of the 2 bisectors. This construction is shown on a window pane by guardian Justin McLeod (Mel Gibson) to his pupil lining Norstadt (Nick Stahl) in the 1993 movie The male Without a Face.SEE ALSO: Perpendicular Bisector,Perpendicular Foot

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