The perpendicular bisector can be perfectly defined as the comprehensive line segment that will be intersecting another line and will be dividing it into two equal parts. Two lines are said to be perpendicular to each other whenever they will be intersecting in such a way that they will be forming 90° with each other and the bisector will be the line that will be dividing it into two halves. Hence, the perpendicular bisector of the line segment AB will always imply that it will be intersecting AB at 90° and will be cutting it down into two halves very easily without any kind of problem.

Following are the very basic features and properties of the perpendicular bisector which every student of mathematics should know by heart:

1. If the AB has been divided into two equal parts and bisected properly then it will be termed as the best possible perpendicular bisector.
2. The perpendicular bisector will always be making right angles with the line segment or will be perpendicular to it.
3. Every point into the perpendicular bisector will be equidistant from point A and point B.

At the time of working with the practical geometry, people need to be clear about the concept of application of the perpendicular bisector so that there is no problem at any point in time and overall goals are very easily achieved without any kind of issue. Whenever the people are asked to draw the Isosceles triangle or whenever they have to determine the centre of the circle then it is very much important for the people to be clear about following different kinds of steps in the whole process of constructing the perpendicular bisector of the line using the compass and ruler.

How people can construct the perpendicular bisector very easily?

For this purpose, people need to follow different kinds of steps and some of those top-notch quality steps are explained as follows to ensure accuracy at every step without any kind of problem:

1. First of all, people need to draw a line segment named PQ
2. Now one will need to adjust the compass with the length and a little more than half of the length of the big in the whole process
3. Now people need to place the compass pointer at point P so that they can draw the arcs without any kind of issue both above and below the line in the whole process.
4. Now people will be giving the same length in the compass and will be placing the compass pointer at the point Q so that they can similarly draw to arcs above and below the line by keeping the compass pointer at Q in the whole process without any kind of issue.
5. With the help of this particular system, people can also go with the option of marking the points where the opposite arcs will be crossing as X and Y in the whole process.
6. Now with the utilisation of a ruler people need to draw the line passing through X and Y so that there is no problem and people can have proper access to the right kind of perpendicular bisector.

The perpendicular bisector will be bisecting PQ at point J and the length of PJ will always be equal to the length of JQ and the angle between both of these lines will be 90° which will justify that the construction has been very accurately undertaken without any kind of problem.

Hence, it is very much important for the people to depend upon the comprehensive platforms like Cuemath so that they can have a good command over the concepts of the perpendicular bisector and perpendicular lines very easily and are very much capable of dealing with things so that they can score well in the mathematics exam without any kind of problem.