## Chapter 4 Basic Geometrical Ideas Exercise 4.2

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

Answer:

a) Open curves

b) Closed curves

c) Open curves

d) Closed curves

e) Closed curves

Question 2: Draw rough diagrams to illustrate the following:

a) Open curve

b) Closed curve

Answer:

Question 3: Draw any polygon and shade its interior.

Answer:

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

a) Is it a curve?

b) Is it closed?

Answer:

a) Yes, it is a curve.

b) Yes, it 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.

Answer:

a) Yes it is possible to illustrate a closed curve that is not a polygon.

b) Yes it is possible to illustrate a open curve made up entirely of line segments.

c) No, it is not possible to illustrate a polygon with two sides. A polygon should have atleast three sides (triangle).

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