HARD
Earn 100

With the help of a compass draw a circle of radius 4 cm. Draw a chord of the circle. Find the distance from the centre of the circle to the mid-point of the chord.

Important Questions on Constructions

MEDIUM

Use ruler and compass for the question. Construct a circle of radius 4.5 cm. Draw a chord AB=6 cm.

Find the locus of points equidistant from A and B. Mark the point where it meets the circle as D.

HARD

Use ruler and compass for this question. Construct a circle of radius 4.5 cm. Draw a chord. AB=6 cm. Find the locus of points equidistant from A and B.
Mark the point where it meets the circle as D. Join AD and find the locus of points which are equidistant from AD and AB. Mark the point where it meets the circle as C.

MEDIUM
Draw PQR of measure 70° and bisect it.
EASY

A circle of radius 4.5 cm is drawn with chord AB 6 cm. D is the locus of points of A and B. C is the locus of points of AD and AB. Join BC and CD. Measure and write down the length of side CD of the quadrilateral ABCD.​

EASY
A line segment is divided by a perpendicular bisector. What will be the length of the line segment if one part measures 2.5 cm?
MEDIUM
Which of the following angles cannot be constructed using a ruler and compass?
MEDIUM
Draw an angle of 50° using a protractor. Extend one of its arm to obtain its supplementary angle. Copy this supplementary angle using a ruler and compass.
MEDIUM
Draw any ABC. Through A, draw a line perpendicular to BC.
HARD
Draw an angle of measure 45° and bisect it.
HARD
Draw an angle of measure 147° and construct its bisector.
HARD
Construct the angle 75° using compass and ruler.
MEDIUM

The angle which cannot be constructed using a ruler and compass only is

MEDIUM
Construct AOB = 85° with the help of a protractor. Draw a ray OX bisecting AOB.
MEDIUM

With a ruler and compass only, construct the following angle:

150°.

HARD
Draw a right angle and construct its bisector.
MEDIUM
Can you make an angle of 15° using two set squares of geometry box? Yes/No
MEDIUM
Draw POQ of measure 75° and find its line of symmetry.
MEDIUM
An angle of measure 2212° can be constructed by using a ruler and compass by
HARD

Copy AOB shown in the given figure. Using a ruler and compass, construct an angle equal to 212times AOB.

Question Image

EASY
The perpendicular bisector of a line segment makes an angle of _____ with the given line segment.