NCERT MCQ CLASS-9 CHAPTER-11 | CONSTRUCTIONS | EDUGROWN

NCERT MCQ ON CONSTRUCTIONS

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°

Answer: (a) 70°

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°

Answer: (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

Answer: (b) 4.5 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

Answer: (b) 2.1 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

Answer: (c) One 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

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: (b) 45

Question 11.

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: (b) 60°

Question 12.

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 :(a) Interior

Question 13.

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: (b) difference of radii

Question 14.

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:(d) parallel and may inchired at any angle

Question 15.
Which of these angles cannot be constructed using ruler and compasses?

(a) 120°

(b) 60°

(c) 140°

(d) 135°

Answer :(c) 140°