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NCERT · Class 6 · Maths

Chapter 4: Basic Geometrical Ideas

Practice each question, then open the answer or worked solution.

Exercise 4.2

Textbook page 78 · 5 questions
Q1Written answer

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

NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.2 - 1

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Worked solution

(a) The given curve is an open curve

(b) The given curve is a closed curve

(c) The given curve is an open curve

(d) The given curve is a closed curve

(e) The given curve is a closed curve

Q2Written answer

Draw rough diagrams to illustrate the following:

(a) Open curve

(b) Closed curve

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Worked solution

(a) The below figure is an open curve

NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.2 - 2

(b) The below figure is a closed curve

NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.2 - 3

Q3Written answer

Draw any polygon and shade its interior.

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Worked solution

The below figure is a polygon with a shaded interior.

NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.2 - 4

Q4Written answer

Consider the given figure and answer the questions:

(a) Is it a curve?

(b) Is it closed?

NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.2 - 5

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Worked solution

(a) Yes, it is a curve

(b) Yes, it is a closed curve

Q5Written answer

Illustrate, if possible, each one of the following with a rough diagram:

(a) A closed curve that is not a polygon.

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

(c) A polygon with two sides.

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Worked solution

(a) The below figure is a closed figure but not a polygon.

NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.2 - 6

(b) The below figure is an open curve made up entirely of line segments.

NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.2 - 7

(c) No, it’s not possible, as the polygon with the least number of sides is a triangle, which has three sides.