Mathematics Class 6 NCERT Solutions: Chapter 4 Basic Geometrical Ideas Exercise 4.2

Download PDF of This Page (Size: 171K)

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

(a)

Open Curve Image - 1

Open Curve Image - 1

Open Curve Image - 1

Answer: Open curve

(b)

Closed Curve Image - 1

Closed Curve Image - 1

Closed Curve Image - 1

Answer: Closed curve

(c)

Open Curve Image - 2

Open Curve Image - 2

Open Curve Image - 2

Answer: Open curve

(d)

Closed Curve Image - 2

Closed Curve Image - 2

Closed Curve Image - 2

Answer: Closed curve

(e)

Closed Curve Image - 3

Closed Curve Image - 3

Closed Curve Image - 3

Answer: Closed curve

Q.2 Draw rough diagrams to illustrate the following:

(a) Open curve

Answer: Open curves:

Image of Open Curves

Image of Open Curves

Image of Open Curves

(b) Closed curve

Answer: Closed curves:

Image of Closed Curves

Image of Closed Curves

Image of Closed Curves

Q. 3 Draw any polygon and shade its interior.

Image of Polygon And Its Interior

Image of Polygon and Its Interior

Image of Polygon And Its Interior

Answer: Polygon ABCDE

Q.4 Consider the given figure and answer the questions:

Image of Closed Curve - 4

Image of Closed Curve - 4

Image of Closed Curve - 4

(a) Is it a curve?

Answer: Yes, it is a curve.

(b)Is it closed?

Answer: Yes, it is closed.

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

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

Answer:

Image of Closed Curve - 5

Image of Closed Curve - 5

Image of Closed Curve - 5

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

Answer:

Image of Open Curve Entirely of Line Segments

Image of Open Curve Entirely of Line Segments

Image of Open Curve Entirely of Line Segments

(c) A polygon with two sides.

Answer: Polygon with two sides cannot be draw.