HARD
Earn 100

Construct a triangle with the sides and angles given below and draw the perpendicular bisectors of their sides and check that they are concurrent.

4.5 cm, 2,5 cm and the angle between them is 105°

Important Questions on Constructions

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 the mean proportional of line segments of lengths 4 cm and 3 cm.
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.

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.​

MEDIUM
Which of the following angles cannot be constructed using a ruler and compass?
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
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
Draw an angle of 50° with the help of a protractor. Draw a ray bisecting this angle.
MEDIUM

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

150°.

HARD
Draw an angle of measure 153° and divide it into four equal parts.
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.

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