Chapter 4: Basic Geometrical Ideas

Exercise 4.2

Q1. Classify the following curves as (i) Open or (ii) Closed.

Ans.

(a) Open curve

(b) Closed curve

(c) Open curve

(d) Closed curve

(e) Closed curve

Q2. Draw rough diagrams to illustrate the following:

(a) Open curve

(b) Closed curve

Ans.

(a) Open curves:

(b) Closed curves

Q3. Draw any polygon and shade its interior.

Ans. Polygon ABCDE

Q4. Consider the given figure and answer the questions:

(a) Is it a curve?

(b) Is it closed?

Ans.

(a) Yes, it is a curve.

(b) Yes, it is closed.

Q5. 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.

Ans.

(a)

(b)

(c) Polygon with two sides cannot be draw.