# Concepts of Constructions

This MCQ is based on the Concepts of Constructions.

This includes how to construct an angle using a compass and ruler, the construction of the triangle, and many more.

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In Δ ABC, which of the following information is needed to construct it if it is known that measure of ∠B = 60 and BC = 6 cm :

AB + BC CA + AB BC + CA All of the above

With the help of a ruler and a compass, it is possible to construct an angle of

40° 37.5° 47.5° 35°

The construction of △ABC, given that BC = 5 cm, ∠B = 600 is not possible when the difference of AB and AC is equal to

4.2 cm 5.9 cm. 4 cm. 3 cm.

The construction of the triangle ABC is possible if it is given that BC = 4 cm, ∠C = 60° and the difference of AB and AC is

3.5 cm 4.5 cm 3 cm 2.5 cm

If we want to construct a triangle, given its perimeter, then we need to know:

Sum of two sides of triangle Difference between two sides of triangle One base angles Two base angles

To construct a bisector of a given angle, we need:

A ruler A compass A protractor Both ruler and compass

Which of the following set of lengths can be the sides of a triangle?

2 cm, 4 cm, 1.9 cm 1.6 cm, 3.7 cm, 5.3 cm 5.5 cm, 6.5 cm, 8.9 cm None of the above

Which of these angles cannot be constructed using ruler and compasses?

120 60 140 135

Which of the following angles can be constructed using a ruler and compass?

35° 40° 90° 50°

Which of the following angles can be constructed using a ruler and compasses?

35° 45° 95° 55°

Which of these angles we cannot construct it using a ruler and compasses?

120° 70° 60° All can be constructed

Which of these angles cannot be constructed using a ruler and compasses?

120° 60° 140° 135°

If a, b and c are the lengths of three sides of a triangle, then:

a+b>c a-b>c a+b=c a-b=c

Two radii of same circle are always :

May inclined at any angle

Perpendicular

Parallel

Parallel and may inclined at any angle

If two circles touches internally then distance between their centres is equal to 