Bisectrix
In geometry, bisection is the division of something into two equal or congruence (geometry), congruent parts, usually by a line (mathematics), line, which is then called a ''bisector''. The most often considered types of bisectors are the ''segment bisector'' (a line that passes through the midpoint of a given line segment, segment) and the ''angle bisector'' (a line that passes through the Apex (geometry), apex of an angle, that divides it into two equal angles). In three-dimensional space, bisection is usually done by a plane (geometry), plane, also called the ''bisector'' or ''bisecting plane''. Perpendicular line segment bisector Definition *The perpendicular bisector of a line segment is a line, which meets the segment at its midpoint perpendicularly. The Horizontal intersector of a segment AB also has the property that each of its points X is equidistant from the segment's endpoints: (D)\quad , XA, = , XB, . The proof follows from and Pythagoras' theorem: :, X ...
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