Bisection
division of something into two equal or congruent parts
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In geometry, bisection is the division of something into two equal parts. This is usually done by a line, which we will call the "bisector". The most known types are the segment bisector (a line that passes through the middle of a given segment) and the angle bisector (a line that passes through the apex of an angle, that divides it into two equal angles.
In three-dimensional space, bisection is usually done by a plane, which is also called the bisector or bisecting plane.