Exercises

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

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2. Draw rough diagrams to illustrate the following :

(a) Open curve

(b) Closed curve

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3. Draw any polygon and shade its interior.

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4. Consider the given figure and answer the questions:

(a) Is it a curve?

Reason: As it can be drawn without lifting the pen from the paper.

(b) Is it closed?

Reason: As It has no openclosed ends

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

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

Solution: Closed curves can be traced without any break. They start and end in the samedifferent place.

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

Solution: Open curves are not continuouscontinuous and are made up of line segments or curves which do not meet.

(c) A polygon with two sides.

Solution: A polygon is defined as a closed two-dimensional figure with threetwo or more straight linescurves.

The smallest polygon is a trianglerectangle having threefour sides.

Thus, a polygon with 2 sides does not exist.