Construction Using Ruler and Compass

IMPORTANT

Construction Using Ruler and Compass: Overview

This topic explains concepts such as Construction of Perpendicular Bisector of a Line Segment, Construction of Angles using Ruler and Compass, Construction of Perpendicular Bisector Using Ruler and Compasses, Construction of Perpendicular to a Line through a Point Not on it, etc.

Important Questions on Construction Using Ruler and Compass

HARD
IMPORTANT

Construct angles congruent to the following angles.

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HARD
IMPORTANT

Construct angles congruent to the following angles.

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HARD
IMPORTANT

Construct angles congruent to following angles.

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MEDIUM
IMPORTANT

Draw a line segment CD= 8 cm. Mark any point P outside the CD¯. Draw a perpendicular from P to line segment CD and measure the perpendicular distance from P.

MEDIUM
IMPORTANT

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

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HARD
IMPORTANT

Construct perpendicular bisector of a line segment of length 6 cm using ruler and compass.

EASY
IMPORTANT

Use ruler and compasses to construct the angle of given measure:
60o

EASY
IMPORTANT

Construct an angle of 30° using compass.

MEDIUM
IMPORTANT

Construct a perpendicular to a line EF through a point N not on it.

MEDIUM
IMPORTANT

Construct a perpendicular to a line through a point, not on it. 

HARD
IMPORTANT

Draw CD is perpendicular bisector of AB

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

Draw a perpendicular on the line MN from point X.

EASY
IMPORTANT

Explain the method to draw a perpendicular to a line through a point which does not lie on it.

EASY
IMPORTANT

Construction of bisector of an angle _____ be done by folding of tracing paper. [can / cannot]

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)

MEDIUM
IMPORTANT

To bisect an angle, how many arcs are required to be drawn?

EASY
IMPORTANT

Observe the clock:

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At what point should a second hand bisect the angle formed by two hands of a clock?

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