Maths MCQs for Class 9 with Answers Chapter 11 Constructions

Here you will find NCERT MCQ Questions for Class 9 Maths with Answers PDF Free Download based on the important concepts and topics given in the textbook as per CBSE new exam pattern. This may assist you to understand and check your knowledge about the chapters. Students also can take a free test of the Multiple Choice Questions of Class 9 Maths. Each question has four options followed by the right answer. These MCQ Questions are selected supported by the newest exam pattern as announced by CBSE.


Q.1 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

(a) Interior


Q.2 Which of the following angles can be constructed using ruler and compass?

(a) 35
(b) 40
(c) 90
(d) 50

(c) 90


Q.3 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

(a) difference of radil


Q.4 Which of the following angles can be constructed using ruler and compasses?

(a) 35
(b) 45
(c) 95
(d) 55

(b) 45


Q.5 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
(d) a + b + c = 0

(b) a – b < c


Q.6 With the help of a ruler and compasses, which of the following is not possible to construct?

(a) 70°
(b) 60°
(c) 135°
(d) 90°

(a) 70°


Q.7 Which of these angles we cannot construct it using ruler and compasses?

(a) 120
(b) 70
(c) 60
(d) All can be constructed

(b) 70


Q.8 The internal and external bisectors of an angle form a

(a) Acute angle
(b) Straight angle
(c) Right angle
(d) Reflex angle

(c) Right angle


Q.9 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°

(a) 35°


Q.10 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

(b) 4.5 cm


Q.11 Which of these angles cannot be constructed using ruler and compasses?

(a) 120
(b) 60
(c) 140
(d) 135

(c) 140


Q.12 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°

(d) 60°


Q.13 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

(a) a+b>c


Q.14 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

(b) 14 cm


Q.15 An external bisector of an angle measuring 70° will divide the angle into two angles measuring

(a) 35°
(b) 55°
(c) 70°
(d) 110°

(b) 55°


Q.16 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

(c) 5.5 cm, 6.5 cm, 8.9 cm


Q.17 The point of concurrence of the three angle bisectors of a triangle, is called

(a) Centroid
(b) Incentre
(c) Circumcentre
(d) Orthocentre

(b) Incentre


Q.18 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

(d) Two base angles


Q.19 To construct a bisector of a given angle, we need:

(a) A ruler
(b) A compass
(c) A protractor
(d) Both ruler and compass

(d) Both ruler and compass


Q.20 In Δ ABC if ∠B = ∠C = 300, which of the following is the longest side?

(a) BC
(b) AC
(c) AB
(d) none

(a) BC


Class 9 Maths MCQs Multiple Choice Questions with Answers


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