Question

What is a perpendicular bisector?

Answer 1

Hint: In this problem, we are going to explain what a perpendicular bisector is. We know that a perpendicular bisector is a line which cuts a line segment into two equal parts. We can draw an example diagram for the perpendicular bisector to understand it in a better way.

Complete step-by-step solution:
We can now see about the perpendicular bisector.
We can first see the definition for the perpendicular bisector.
Definition: A line which cuts a line segment into two equal parts at \[{{90}^{\circ }}\].
We should know that in general ‘bisect’ means to cut it into two equal parts, similarly a bisector always crosses the line segment at right angles, \[{{90}^{\circ }}\].
We can now draw an example diagram.

We can see that the segment PQ is being cut into two equal parts as PF and FQ by the bisector line, AB, which cuts at \[{{90}^{\circ }}\]. If AB does not cut at \[{{90}^{\circ }}\], then it is simply a bisector of PQ, we can also see that the point F is the midpoint of the line PQ, where AB cuts the line PQ.
Therefore, the perpendicular bisector is a line where it cuts a line segment into two equal parts at \[{{90}^{\circ }}\].

Note: We can also know that the perpendicular bisector can either cross the line segment it bisects or can be a line segment or ray that ends at the line. We should also remember that a perpendicular bisector is a line which cuts the line segment at \[{{90}^{\circ }}\], if the line does not cut at \[{{90}^{\circ }}\], then it is simply a bisector.