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

Sum of radii

Difference of radii

Not possible to determine

None

Quiz/Test Summary
Title: Concepts of Constructions
Questions: 15
Contributed by:
NEO