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

Basic Geometrical Ideas

Question 1.
Classify the following curves as

(i) Open or
(ii) Closed.
NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas 9
Solution:
Open curves are (a) and (c) and closed curves are (b), (d) and (e).

Question 2.
Draw rough diagrams to illustrate the following:

(a) Open curve
(b) Closed curve

Solution:
Rough diagram to illustrate
(a) Open curve is
NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas 10

(b) Closed curve is
NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas 11

Question 3.
Draw any polygon and shade its interior.

Solution:
We know that in a closed curve, the interior is inside of the curve. Thus, shaded portion of the polygon indicate its interior.
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Question 4.
Consider the given figure and answer the questions:

(a)
 Is it a curve?
(b) Is it closed?

Solution:
(a)
 Yes, the given figure represents a curve.
(b) Yes, the curve is closed.

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)
 Impossible, as a close plane figure bounded by lines is called a polygon.

(b) No, impossible, as a polygon of two sides cannot be drawn.

(c) Yes, it may be as

NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas 14

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