**MCQs Questions for Class 9 Maths Chapter 11 Constructions**

In this 21^{st} century, Multiple Choice Questions (MCQs) play a vital role to prepare for a competitive examination. CBSE board has also brought a major change in its board exam patterns. Now-a-days, a total of 10 MCQs questions are asked in the class 10 board examination.

In most of the competitive examinations, only MCQ questions are asked. So, for getting ready for the competitive examinations, we have to practice for MCQs questions to solve. It strengthens the critical thinking and problem solving skills.

In future, if you want to prepare for competitive examination and to crack it, then you should more focus on the MCQ questions. Thus, from the board examinations point of view and competitive examinations point of view, you should practice more on multiple choice questions.

Thus, let’s solve these MCQs Questions to make our foundation very strong.

**MCQs Questions for Class 9
Maths Chapter 11 Constructions**

**1.**
**Which of the
following angles can be constructed using ruler and compasses?**

(a) 35°

(b) 45°

(c) 95°

(d) 55°

**Answer: b**

**2. **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**

## 3. If two circles touch internally, then the
distance between their centres is equal to

(a) difference of
radii

(b) not possible to determine

(c) sum of radii

(d) none

**Answer: a**

**4. **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**

**5. ****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**

## 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°

**Answer: a**

**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: c**

**8. ****To construct an
angle of 60**°**, we need to draw first:**

(a) A ray

(b) An arc

(c) Two rays

(d) A straight line

**Answer: a**

## 9. 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: b**

**10. **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°

(d) 90°

**Answer: b**

**11. ****If we want to
construct an equilateral triangle, then we need to know:****
**(a) one of its angles

(b) one of its sides

(c) sum of its two sides

(d) sum of its two angles

**Answer: b**

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

(a) Centroid

(b) Incentre

(c) Circumcentre

(d) Orthocentre

**Answer: b**

**13. **The construction of a triangle Î”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

(d) 5.5 cm

**Answer: b**

## 14. In Î” ABC, if ∠B = ∠C = 30°,
which of the following is the longest side?

(a) BC

(b) AC

(c) AB

(d) none

**Answer: a**

**15. **The side lengths 4.5 cm, 4.5 cm and 4.5 cm of a triangle can
be the sides of:

(a) Scalene Triangle

(b) Isosceles Triangle

(c) Equilateral Triangle

(d) None of the above

**Answer: c**