Bisect

Pronunciation: /baɪˈsɛkt/ Explain

To bisect is to cut into two equal halves. In geometry, bisecting an angle means divide the angle into two equal angles. Bisecting a line segment means dividing the line segment into two equal line segments.

Bisecting a Line Segment Using Analytical Geometry

A line with endpoints at (-2,3) and (4,-1) has a bisector at (1,1).
Figure 2: Bisecting a Line Segment

Using analytical geometry, a line segment can be bisected. If the endpoints of the line segment are (x1,y1) and (x2,y2), then the midpoint of the line segment is ((x1 + x2)/2,(y1 + y2)/2) (see figure 2).

More Information

  • McAdams, David E.. How to Bisect an Angle. allmathwords.org. Life is a Story Problem LLC. 6/22/2018. http://www.allmathwords.org/en/h/howtobisectanangle.html.
  • McAdams, David E.. Bisecting a Line Segment. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 6/22/2018. http://www.allmathwords.org/en/b/bisectingalinesegment.html.

Cite this article as:

McAdams, David E. Bisect. 7/10/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/b/bisect.html.

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Revision History

6/22/2018: Removed broken links, updated license, implemented new markup. (McAdams, David E.)
1/8/2010: Added "References" and "More Information". (McAdams, David E.)
10/24/2008: Changed images and manipulatives to geogebra. (McAdams, David E.)
5/7/2008: Corrected link errors. Corrected spelling (McAdams, David E.)
4/22/2008: Initial version. (McAdams, David E.)

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