Construction of Perpendicular Line and Angle Bisector
Construction of Perpendicular Line and Angle Bisector: Overview
This Topic covers sub-topics such as Construction of Perpendicular Bisector of a Line Segment and Construction of Angle Bisectors Using Ruler and Compasses
Important Questions on Construction of Perpendicular Line and Angle Bisector
In the diagram, is a constructed parallelogram. What is the measure of ?

A circle with centre at point and radius is drawn. Two chords and are drawn in it, such that is not parallel to . After that, perpendicular bisectors of and are made. Name the point at which they intersect?

Steps of construction of perpendicular bisector of a line segment is given below.
- Taking and as centres and radius more than half of , draw arcs on both sides of the line segment (to intersect each other).
- Let these arcs intersect each other at and . Join .
- Let intersect at the point .
Now, is the perpendicular bisector of _____ . ()

The measure of one of the bisector angle of is

The measure of one of the bisector angle of is

The length of each part of a line segment of length after bisecting is .

A circle with centre at point and radius is drawn. Two chords and are drawn in it, such that is not parallel to . After that, perpendicular bisectors of and are made. Name the point at which they intersect?

For bisecting an angle, compasses has to be used _____ times.

If we bisect a line segment of , and then again bisect one of the equal parts, then the length of the bisected part is
