NCERT Solutions for Class 6 Maths Chapter 4: Basic Geometrical Ideas - Exercise 4.2

Exercise 4.2

1. Classify the following curves as (i) Open or (ii) Closed.

a) Classify the curve as open or closed.

Ans: An open curve has two endpoints and it does not have any area. A closed curve has some area and has no end points. When the endpoints of an open curve are joined together then a closed curve is formed. 

Since the given figure has two endpoints and it enclosed no area, the given curve is an open curve.

b) Classify the curve as open or closed.

Ans: An open curve has two endpoints and it does not have any area. A closed curve has some area and has no end points. When the endpoints of an open curve are joined together then a closed curve is formed. 

Since the given figure has no endpoints and it enclosed some area, the given curve is a closed curve.

c) Classify the curve as open or closed.

Ans: An open curve has two endpoints and it does not have any area. A closed curve has some area and has no end points. When the endpoints of an open curve are joined together then a closed curve is formed. 

Since the given figure has two endpoints and it enclosed no area, the given curve is an open curve.

d) Classify the curve as open or closed.

Ans: An open curve has two endpoints and it does not have any area. A closed curve has some area and has no end points. When the endpoints of an open curve are joined together then a closed curve is formed. 

Since the given figure has no endpoints and it enclosed some area, the given curve is a closed curve.

e) Classify the curve as open or closed.

Ans: An open curve has two endpoints and it does not have any area. A closed curve has some area and has no end points. When the endpoints of an open curve are joined together then a closed curve is formed. 

Since the given figure has no endpoints and it enclosed some area, the given curve is a closed curve.

2. Draw rough diagrams to illustrate the following.

a) Draw rough diagrams to illustrate open curves.

Ans: An open curve has two endpoints and it does not have any area. The rough diagrams are shown below.

b) Draw rough diagrams to illustrate closed curves.

Ans: A closed curve has some area and has no end points. The rough diagrams are shown below.

3. Draw any polygon and shade its interior.

Ans: To draw any polygon and to shade its interior, use the computer software. The diagram of a polygon and its shaded interior is shown below.

4. Consider the given figure and answer the questions.

a) Is the given figure a curve?

Ans: A curve is a term used to describe the path of a continuously moving point. The given figure describes a continuous and smooth path. So, the given figure is a curve. Yes, the given figure is a curve.

b) Is the given figure a closed curve?

Ans: Since the given curve has some area and has no endpoint, the given curve is a closed curve. Yes, the given curve is a closed curve.

5. Illustrate, if possible, each of the following with a rough diagram.

a) A closed curve that is not a polygon.

Ans: A closed curve has some area and has no end points. The figure below is not a polygon but is a closed curve.

b) An open curve made up entirely of line segments.

Ans:  An open curve has two endpoints and it does not have any area. Given below is the figure of an open curve which is made up entirely of line segments.

c) A polygon with two sides.

Ans: A polygon is a fully closed two dimensional flat shape with straight sides. Hence, to draw a polygon with two sides is not possible.

NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas Exercise 4.2

Opting for the NCERT solutions for Ex 4.2 Class 6 Maths is considered as the best option for the CBSE students when it comes to exam preparation. This chapter consists of many exercises. Out of which we have provided the Exercise 4.2 Class 6 Maths NCERT solutions on this page in PDF format. You can download this solution as per your convenience or you can study it directly from our website/ app online.

Vedantu in-house subject matter experts have solved the problems/ questions from the exercise with the utmost care and by following all the guidelines by CBSE. Class 6 students who are thorough with all the concepts from the Maths textbook and quite well-versed with all the problems from the exercises given in it, then any student can easily score the highest possible marks in the final exam. With the help of this Class 6 Maths Chapter 4 Exercise 4.2 solutions, students can easily understand the pattern of questions that can be asked in the exam from this chapter and also learn the marks weightage of the chapter. So that they can prepare themselves accordingly for the final exam.

Besides these NCERT solutions for Class 6 Maths Chapter 4 Exercise 4.2, there are plenty of exercises in this chapter which contain innumerable questions as well. All these questions are solved/answered by our in-house subject experts as mentioned earlier. Hence all of these are bound to be of superior quality and anyone can refer to these during the time of exam preparation. In order to score the best possible marks in the class, it is really important to understand all the concepts of the textbooks and solve the problems from the exercises given next to it. 

Do not delay any more. Download the NCERT solutions for Class 6 Maths Chapter 4 Exercise 4.2 from Vedantu website now for better exam preparation. If you have the Vedantu app in your phone, you can download the same through the app as well. The best part of these solutions is these can be accessed both online and offline as well.