Skip to main content
What Does Bisector Mean in Geometry?

Answer – In geometry, a bisector is a line that divides another line or angle into two congruent or equal parts.

Explanation:

Bisection, in geometry, refers to cutting into two equal parts. So a bisector is a line, segment, or ray that divides something, usually an angle or a segment, into two congruent parts.

An angle bisector is a line, ray, or segment that divides a given angle into two adjacent angles of the same measure. In the diagram below, the ray BD bisects the bigger angle ABC into two smaller equal angles ABD and DBC. Further, any point on the bisector BD will be equidistant from the sides AB and BC.

Angle bisector BD cuts angle ABC at B

Similarly, a segment bisector is a line, ray, or another segment that splits the given segment into two parts of equal lengths. A bisector always passes through the midpoint of the segment and is not necessarily perpendicular to it. Also, every segment can have more than one bisector passing through its midpoint at different angles. The figure below shows the segment bisectors  CD and EF cutting the line AB into 2 equal halves at its midpoint O.

Segment bisectors CD and EF cut segment AB at its midpoint O

Popular Questions

SHOW MORE TEXTBOOK SOLUTIONS+