bisection
Sign in to saveAlso known as line segment bisector, perpendicular bisector
right|thumb|Line DE bisects line AB at D, line EF is a perpendicular bisector of segment AD at C, and line EF is the interior bisector of right angle AED.
~15 min read
Article
31 sectionsContents
- Perpendicular line segment bisector
- Definition
- Construction by straight edge and compass
- Equations
- Applications
- Perpendicular line segment bisectors in space
- Angle bisector
- Triangle
- Concurrencies and collinearities
- Angle bisector theorem
- Lengths
- Integer triangles
- Quadrilateral
- Rhombus
- Ex-tangential quadrilateral
- Parabola
- Bisectors of the sides of a polygon
- Triangle
- Medians
- Perpendicular bisectors
- Quadrilateral
- Area bisectors and perimeter bisectors
- Triangle
- Parallelogram
- Circle and ellipse
- Bisectors of diagonals
- Parallelogram
- Quadrilateral
- Volume bisectors
- References
- External links
right|thumb|Line DE bisects line AB at D, line EF is a perpendicular bisector of segment AD at C, and line EF is the interior bisector of right angle AED.
In geometry, bisection is the division of something into two equal or congruent parts (having the same shape and size). Usually it involves a bisecting line, also called a bisector. The most often considered types of bisectors are the segment bisector, a line that passes through the midpoint 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 bisecting plane, also called the bisector.