# MCQ Questions for Class 9 Maths Chapter 11 Constructions with Answers

Students are advised to solve the Constructions Multiple Choice Questions of Class 9 Maths to know different concepts. Practicing the MCQ Questions on Constructions Class 9 with answers will boost your confidence thereby helping you score well in the exam.

Explore numerous MCQ Questions of Constructions Class 9 with answers provided with detailed solutions by looking below.

Question 1.

Two radii of the same circle are always:

(a) may inchired at any angle

(b) parallel

(c) parallel and may inchired at any angle

(d) perpendicular

## Answer

Answer: (c) parallel and may inchired at any angle

Question 2.

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 :

(a) AB + BC

(b) CA + AB

(c) BC + CA

(d) All of the above

## Answer

Answer: (d) All of the above

Question 3.

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

(a) 40°

(b) 37.5°

(c) 47.5°

(d) 35°

## Answer

Answer: (b) 37.5°

Question 4.

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

(a) 4.2 cm

(b) 5.9 cm.

(c) 4 cm.

(d) 3 cm.

## Answer

Answer: (b) 5.9 cm.

Question 5.

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

(a) 35°

(b) 40°

(c) 90°

(d) 50°

## Answer

Answer: (c) 90°

Question 6.

Two radii of same circle are always :

(a) may inchired at any angle

(b) perpendicular

(c) parallel

(d) parallel and may inchired at any angle

## Answer

Answer: (d) parallel and may inchired at any angle

Question 7.

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

(a) sum of radii

(b) difference of radii

(c) not possible to determine

(d) none

## Answer

Answer: (b) difference of radii

Question 8.

On a ray AB with initial point A, Taking A as centre and some radius, draw an arc of a circle, which intersects AB, say at a point D. Taking D as centre and with the same radius as before, draw an arc intersecting the previously drawn arc, say at a point E. Draw the ray AC passing through E. Then, the measure of ∠CAB is

(a) 30°

(b) 60°

(c) 45°

(d) 15°

## Answer

Answer: (b) 60°

Question 9.

An angle whose measure is more than 180° and less than 360° is called a

(a) Reflex angle

(b) Acute angle

(c) Straight angle

(d) Complete angle

## Answer

Answer: (a) Reflex angle

Question 10.

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

(a) 40°

(b) 37.5°

(c) 65°

(d) 50°

## Answer

Answer: (b) 37.5°

Question 11.

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

(a) 35°

(b) 45°

(c) 95°

(d) 55°

## Answer

Answer: (b) 45°

Question 12.

In Δ ABC if ∠B = ∠C = 300, which of the following is the longest side?

(a) BC

(b) AC

(c) AB

(d) none

## Answer

Answer: (a) BC

Question 13.

An external bisector of an angle measuring 70° will divide the angle into two angles measuring

(a) 35°

(b) 55°

(c) 70°

(d) 110°

## Answer

Answer: (b) 55°

Question 14.

The point of concurrence of the three angle bisectors of a triangle, is called

(a) Centroid

(b) Incentre

(c) Circumcentre

(d) Orthocentre

## Answer

Answer: (b) Incentre

Question 15.

The construction of a triangle ABC with AB = 4 cm and ∠A = 60° is not possible when difference of BC and AC is equal to

(a) 3.5 cm

(b) 4.5 cm

(c) 2.5 cm

(d) 3 cm

## Answer

Answer: (b) 4.5 cm

Question 16.

On a ray AB with initial point A, Taking A as centre and some radius, draw an arc of a circle, which intersects AB, say at a point D. Taking D as centre and with the same radius as before, draw an arc intersecting the previously drawn arc, say at a point E. Draw the ray AC passing through E. Then, the measure of ∠CAB is

(a) 15°

(b) 30°

(c) 45°

(d) 60°

## Answer

Answer: (d) 60°

Question 17.

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

(a) 120°

(b) 60°

(c) 140°

(d) 135°

## Answer

Answer: (c) 140°

Question 18.

The internal and external bisectors of an angle form a

(a) Acute angle

(b) Straight angle

(c) Right angle

(d) Reflex angle

## Answer

Answer: (c) Right angle

Question 19.

The bisector of an angle lies in its

(a) Interior

(b) On the arms of the angle

(c) Any where in the plane

(d) Exterior

## Answer

Answer: (a) Interior

Question 20.

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

(a) difference of radil

(b) not possible to determine

(c) sum of radil

(d) none

## Answer

Answer: (a) difference of radil

Question 21.

To construct a ΔABC in which BC = 10 cm and ∠B= 60 degrees and AB + AC = 14 cm, then the length of BD used for construction.

(a) 7 cm

(b) 14 cm

(c) 20 cm

(d) 10 cm

## Answer

Answer: (b) 14 cm

Question 22.

With the help of a rular and compass, it is not possible to construct an angle of

(a) 35°

(b) 67.5°

(c) 82.5°

(d) 7.5°

## Answer

Answer: (a) 35°

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