NCERT Solution Class 6th Maths Chapter – 4 Basic Geometrical Ideas Exercise – 4.2

Question 1. Classify the Following Curves as-

(i) Open
(ii) Closed.

Solution –

(a) Open curve
(b) Closed curve
(c) Open curve
(d) Closed curve

Question 2. Draw rough diagrams to illustrate the following-

(a) Open curve
(b) Closed curve

Solution –

Question 3. Draw any polygon and shade its interior.

Solution –

ABCD is the required polygon whose interior region is shaded.

Question 4. Consider the given figure and answer the questions.

(a) Is it a curve?
(b) Is it closed?

Solution –

(a) Yes, it is a curve.
(b) Yes, it is a closed curve.

Question 5. 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.

Solution –

(a) Required closed curve is a circle.

(b) ABCD is an open curve made up of the line segments AB¯, BC¯and CD¯.

(c) A polygon with two sides is not possible.