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## Constructions Class 9 MCQs Questions with Answers

Question 1.
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: (b) a – b < c

Question 2.
With the help of a ruler and compasses, which of the following is not possible to construct?
(a) 70°
(b) 60°
(c) 135°

Question 3.
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°

Question 4.
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

Question 5.
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

Question 6.
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

Question 7.
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: (d) Both ruler and compass

Question 8.
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: (c) 5.5 cm, 6.5 cm, 8.9 cm

Question 9.
Which of these angles cannot be constructed using ruler and compasses?
(a) 120
(b) 60
(c) 140
(d) 135

Question 10.
Which of the following angles can be constructed using ruler and compasses?
(a) 35
(b) 45
(c) 95
(d) 55

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) 120°
(b) 135°
(c) 140°

Question 12.
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°

Question 13.
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: (b) 5.5 cm, 6.5 cm, 8.9 cm

Question 14.
The construction of a triangle ΔABC 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

Question 15.
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°

Question 16.
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

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

Question 17.
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

Hint:
Equilateral triangle has all its three sides equal.

Question 18.
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: (a) a + b > c
Hint:
The sum of two sides of a triangle is always greater than the third side.

Question 19.
Which of these angles we cannot construct it using ruler and compasses?
(a) 120
(b) 70
(c) 60
(d) All can be constructed

Question 20
Which of the following angles can be constructed using ruler and compass?
(a) 35
(b) 40
(c) 90
(d) 50