**CBSE Class 9 Maths – MCQ and Online Tests – Unit 11 – Constructions**

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**CBSE Class 9 Maths – MCQ and Online Tests – Unit 11 – Constructions**

Question 1.

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

(a) A ruler

(b) A compass

(c) A protractor

(d) Both ruler and compass

## Answer

Answer: (d) Both ruler and compass

Question 2.

With the help of a ruler and compasses which of the following is not possible to construct?

(a) 120°

(b) 135°

(c) 140°

## Answer

Answer: (c) 140°

Question 3.

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

(a) 3.5 cm

(b) 4.5 cm

(c) 3 cm

(d) 2.5 cm

## Answer

Answer: (b) 4.5 cm

Question 4.

Which of the following can be the length of BC required to construct the triangle ABC such that AC = 7.4 cm and AB = 5 cm?

(a) 3.5 cm

(b) 2.1 cm

(c) 4.7 cm

## Answer

Answer: (b) 2.1 cm

Question 5.

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

(a) Sum of two sides of triangle

(b) Difference between two sides of triangle

(c) One base angles

(d) Two base angles

## Answer

Answer: (c) One base angles

Question 6.

If a, b and c are the lengths of the three sides of a triangle, then which of the following is true?

(a) a + b < c

(b) a – b < c

(c) a + b = c

## Answer

Answer: (b) a – b < c

Question 7.

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

(a) 2 cm, 4 cm, 1.9 cm

(b) 1.6 cm, 3.7 cm, 5.3 cm

(c) 5.5 cm, 6.5 cm, 8.9 cm

(d) None of the above

## Answer

Answer: (c) 5.5 cm, 6.5 cm, 8.9 cm

Question 8.

Which of the following sets of angles can be the angles of a triangle?

(a) 30°, 60°, 80°

(b) 40°, 60°, 70°

(c) 50°, 30°, 100°

## Answer

Answer: (c) 50°, 30°, 100°

Question 9.

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

(a) 120

(b) 60

(c) 140

(d) 135

## Answer

Answer: (c) 140

Question 10.

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

(a) 35

(b) 45

(c) 95

(d) 55

## Answer

Answer: (b) 45

Hint:

See the figure below:

ROA = 45°

Question 11.

With the help of a ruler and compasses, which of the following is not possible to construct?

(a) 70°

(b) 60°

(c) 135°

## Answer

Answer: (a) 70°

Question 12.

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

(a) 120

(b) 70

(c) 60

(d) All can be constructed

## Answer

Answer: (b) 70

Question 13

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

(a) 35

(b) 40

(c) 90

(d) 50

## Answer

Answer: (c) 90

Hint:

See the figure below:

?POA = 90

Question 14.

If the construction of a triangle ABC in which AB = 6 cm, ?A = 70° and ?B = 40° is possible then find the measure of ?c.

(a) 40°

(b) 70°

(c) 80°

## Answer

Answer: (b) 70°

Question 15.

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

(a) 2 cm, 4 cm, 1.9 cm

(b) 5.5 cm, 6.5 cm, 8.9 cm

(c) 1.6 cm, 3.7 cm. 5.3 cm

## Answer

Answer: (b) 5.5 cm, 6.5 cm, 8.9 cm

Question 16.

The construction of a triangle ?ABC in which BC = 6 cm, ?A = 50° is not possible, when difference of BC and AC is equal to

(a) 4.6 cm

(b) 6.4 cm

(c) 5.1 cm

## Answer

Answer: (b) 6.4 cm

Question 17.

To construct an angle of 60 degrees, we need to draw first:

(a) A ray

(b) An arc

(c) Two rays

(d) A straight line

## Answer

Answer: (a) A ray

Hint:

To construct an angle of 60 degrees we need to start at the initial point of a ray.

Question 18.

The side lengths 4 cm, 4 cm and 4 cm can be sides of:

(a) Scalene Triangle

(b) Isosceles Triangle

(c) Equilateral Triangle

(d) None of the above

## Answer

Answer: (c) Equilateral Triangle

Hint:

Equilateral triangle has all its three sides equal.

Question 19.

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

(a) a + b > c

(b) a – b > c

(c) a + b = c

(d) a – b = c

## Answer

Answer: (a) a + b > c

Hint:

The sum of two sides of a triangle is always greater than the third side.

Question 20.

Which of the following angle can be constructed with the help of a ruler and a pair of compasses?

(a) 35°

(b) 40°

(c) 37.5°

(d) 47.5°

## Answer

Answer: (c) 37.5°

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