Construction of Perpendicular Line and Angle Bisector

IMPORTANT

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

MEDIUM
IMPORTANT

In the diagram, KLMN is a constructed parallelogram. What is the measure of KLM?

Question Image

MEDIUM
IMPORTANT

A circle with centre at point O and radius 6 cm is drawn. Two chords PQ and RS are drawn in it, such that PQ is not parallel to RS. After that, perpendicular bisectors of PQ and RS are made. Name the point at which they intersect?

MEDIUM
IMPORTANT

Steps of construction of perpendicular bisector of a line segment AB is given below.

  1. Taking A and B as centres and radius more than half of AB, draw arcs on both sides of the line segment AB (to intersect each other).
  2. Let these arcs intersect each other at P and Q. Join PQ.
  3. Let PQ intersect AB at the point M.

Now, PQ is the perpendicular bisector of _____ . (AB/AQ/QM)

HARD
IMPORTANT

The measure of one of the bisector angle of 170° is

HARD
IMPORTANT

The measure of one of the bisector angle of 52° is

EASY
IMPORTANT

The length of each part of a line segment of length 8.6 cm after bisecting is 4.3 cm.

MEDIUM
IMPORTANT

A circle with centre at point O and radius 6 cm is drawn. Two chords PQ and RS are drawn in it, such that PQ is not parallel to RS. After that, perpendicular bisectors of PQ and RS are made. Name the point at which they intersect?

EASY
IMPORTANT

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

MEDIUM
IMPORTANT

If we bisect a line segment of 10 cm, and then again bisect one of the equal parts, then the length of the bisected part is