Bisector in Geometry

In geometry, bisector is a line dividing something into two equal or congruent parts. 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). (Source: From Wikipedia).

A plane is used as a bisector in bisecting three dimensional shapes. It is called as bisector plane. Bisectors are used to divide line segments, shapes, and solids in to two equal, similar and congruent parts.

In this article we are going to learn, drawing bisector to a line segment.

Drawing bisector to a line segment

Here we are going to learn how to draw bisector of a line segment step by step.

Step 1

Draw a line segment PQ

Step 2

Fix a compass in point P, and expand it over half the length of the line segment.

Step 3

Now, draw two arcs, on each side of the line segment.

Step 4

Without changing or adjusting the measure of the compass, draw two another arcs on each side of the line segment from the point Q.

Step 5

Now we have drawn two set of arcs on each side of the line segment PQ, from points P and Q. And we have two points on either side of the equations formed by the arcs drawn from the points P and Q.

Now join those two points of intersection between the arcs either sides of the line segment by a ruler.


Step 6

The line joined by the points of intersection between arcs is called as the bisector of the line segment PQ. The bisector is perpendicular to the line segment PQ. The point, where the bisector cuts the line segment PQ, is the mid point of the line segment PQ. So, the line segments PJ and JQ are equal in length. PJ = JQ.