Pronunciation: /baɪˈsɛkt/ ?
To bisect is to cut into two equal halves. In geometry,
means divide the angle into two equal angles. Bisecting a
means dividing the line segment into two equal line segments.
Bisecting an Angle
Manipulative 1 shows how to construct the bisector of an angle.
Click on the blue point and
drag it to change the figure. Click on the step check boxes one at a time to see the construction
of an angle bisector. For more information on bisecting an angle, see
How to Bisect an Angle
|Manipulative 1: Bisecting an angle. Created with GeoGebra.|
Click on the blue points and drag them to change the figure.
|Manipulative 2: Bisectors of a Triangle. Created with GeoGebra.||
The angle bisectors of a triangle meet at the
of the triangle. See manipulative 2.
Bisecting a Line Segment
Manipulative 3 shows how to construct the midpoint and a bisector of a line segment.
Click on the blue points to change the figure. Click the check boxes to see how to
bisect a line segment step by step.
|Manipulative 3: Bisecting a Line Segment. Created with GeoGebra.|
Bisecting a Line Segment Using Analytical Geometry
|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).
- McAdams, David. How to Bisect an Angle. allmathwords.org. Life is a Story Problem LLC. 2010-10-15. http://www.allmathwords.org/article.aspx?lang=en&id=How to Bisect an Angle.
- McAdams, David. Bisecting a Line Segment. allmathwords.org. Life is a Story Problem LLC. 2010-01-08. http://www.allmathwords.org/article.aspx?lang=en&id=Bisecting a Line Segment.
Cite this article as:
Bisect. 2010-01-08. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/b/bisect.html.
2010-01-08: Added "References" and "More Information" (McAdams, David.
2008-10-24: Changed images and manipulatives to geogebra (McAdams, David.
2008-05-07: Corrected link errors. Corrected spelling (McAdams, David.
2008-04-22: Initial version (McAdams, David.