Practice Solving MCQ for Class 10 Maths Construction

As mentioned earlier, one of the crucial portions of learning geometric concepts is their applications. Learning how to construct a geometric shape or its certain features will help you visualise the concepts and theorems. For instance, learning to draw a tangent by using your geometry instruments will clearly explain its features and relation with a circle.

Such construction methods perfectly explain the theorems and principles of straight lines, line segments, bisectors of line segments, circles, tangents, radius, etc. To make it better, the CBSE Class 10 Maths Chapter 11 covers the following topics.

• Learning how to construct similar triangles

• Learning how to draw a tangent to a circle

• Learning how to divide a line segment

Constructing a circle, triangle or tangent will help the students visualise their geometric features. They will also find out how to construct these figures and retain these concepts better. This chapter clearly gives an experiential learning platform to Class 10 students. Hence, solving the Constructions Class 10 MCQ will help you to check your conceptual foundation for this chapter.

MCQs with Answers for Class 10 Maths Chapter 11 Constructions 

1. Which tool is used to draw a circle of a given radius?

A) Protractor

B) Compass

C) Divider

D) Set square

Answer: B) Compass

2. Which of the following constructions is used to draw a perpendicular from a point on a line?

A) Perpendicular bisector

B) Angle bisector

C) Parallel line

D) Perpendicular line

Answer: D) Perpendicular line

3. What is the perpendicular distance between two parallel lines?

A) Zero

B) Infinity

C) One

D) It varies

Answer: D) It varies

4. What is the common point of intersection of the altitudes of a triangle called?

A) Circumcentre

B) Centroid

C) Orthocentre

D) Incentre

Answer: C) Orthocentre

5. Which of the following constructions is used to construct a triangle when the lengths of three sides are given?

A) Perpendicular bisector

B) Angle bisector

C) Parallel line

D) SSS

Answer: D) SSS

6. In which type of triangle is the circumcentre located inside the triangle?

A) Equilateral

B) Isosceles

C) Scalene

D) Right-angled

Answer: A) Equilateral

7. What is the maximum number of perpendiculars that can be drawn to a given line from a point not on the line?

A) 0

B) 1

C) 2

D) Infinite

Answer: B) 1

8. In which type of triangle, is the circumcentre and the centroid the same point?

A) Equilateral

B) Isosceles

C) Scalene

D) Right-angled

Answer: A) Equilateral

9. Which of the following constructions is used to bisect a given angle?

A) Perpendicular bisector

B) Angle bisector

C) Parallel line

D) Perpendicular line

Answer: B) Angle bisector

10. What is the circumradius of an equilateral triangle of side 'a'?

A) $a$

B) $\dfrac{a}{2}$

C) $\dfrac{2a}{3}$

D) $\dfrac{a}{\sqrt{3}}$

Answer: D) $\dfrac{a}{\sqrt{3}}$

11. In which type of triangle is the centroid located inside the triangle?

A) Equilateral

B) Isosceles

C) Scalene

D) Right-angled

Answer: C) Scalene

12. What is the inradius of an equilateral triangle of side 'a'?

A) $a$

B) $\dfrac{a}{2}$

C) $\dfrac{a}{\sqrt{3}}$

D) $\dfrac{2a}{3}$

Answer: C) $\dfrac{a}{\sqrt{3}}$

13. Which of the following constructions is used to construct a triangle when the lengths of two sides and the included angle are given?

A) Perpendicular bisector

B) Angle bisector

C) Parallel line

D) SAS

Answer: D) SAS

14. What is the radius of the incircle of a right-angled triangle with legs 'a' and 'b'?

A) $\dfrac{a+b}{2}$

B) $\dfrac{ab}{\sqrt{a^2 + b^2}}$

C) $\dfrac{a+b-\sqrt{a^2+b^2}}{2}$

D) $\dfrac{\sqrt{a^2 + b^2}}{2}$

Answer: D) $\dfrac{\sqrt{(a^2 + b^2)}}{2}$

15. What is the circumradius of an isosceles triangle with unequal sides 'a' and 'b'?

A) $\dfrac{a+b}{2}$

B) $\dfrac{ab}{\sqrt{a^2 + b^2}}$

C) $\dfrac{a+b-\sqrt{a^2+b^2}}{2}$

D) $\sqrt{\dfrac{a^2 + b^2}{2}}$

Answer: D) $\sqrt{\dfrac{a^2 + b^2}{2}}$

Tips to Solve Class 10 Maths Chapter 11 Constructions MCQs

The concepts of this chapter are quite fascinating to learn. All you have to do is to focus on the steps used for constructing a geometric shape. Find the outcome of every step you add to a construction problem and you will get your concepts clarified.

This purpose is served well when you solve the Constructions Class 10 MCQ after completing studying the chapter. Here is how you can solve these questions accurately.

Focus on the Features of Geometric Figures and Shapes

Be it a line segment or a similar triangle, you must focus on the features of a geometric figure first. Learn these geometric shapes and figures properly. It is then you can find the purpose of this chapter. The construction steps will become clearer and you can easily figure out the solutions to the MCQs designed for this chapter.

Complete Solving Textbook Exercises First

Don’t jump to solve the MCQs right away. Be patient and solve the textbook exercises first. It will help you to get accustomed to the concepts taught in this chapter. Make sure you don’t forget the theorems and geometric principles of line segments, bisectors, circles, triangles, tangents, etc.

After completely solving the textbook exercises, you will gain a good insight into these concepts. Remember, MCQs are not open-end questions. They need short and crisp solutions. Hence, your clarity of the concepts is mandatory to solve these questions accurately.

Locate the Information Given

In every question, there will be a set of clues given to help you start solving the questions. Identify those clues and check the question asked. Relate the clues with the question. You will discover how easier it is to recall the construction concepts to solve that question.

It is the first step to solving an MCQ. Focus on the choices given too. When you are halfway there, you will clearly understand whether you are on the right track by checking the choices too. Overall, get the clues first and then start solving an MCQ.

Download MCQ Questions for Class 10 Maths Construction with Answers PDF

Complete studying the chapter first. Solve all the exercise questions and gain your confidence. Download the CBSE Class 10 Maths Chapter 11 Constructions MCQs with Solution file for free and solve all the questions. Find out how well you have performed and identify the gaps in your preparation. Fill them with your effort and revision. This is how you can stay ahead of the competition and score more in the Class 10 Maths exams.