Question

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

(i) A closed curve that is not a polygon.
(ii) An open curve made up entirely of line segments.
(iii) A polygon with two sides.

Answer 1

(i) A circle is a simple closed curve but not a polygon. A polygon has line-segments, but a circle only has a curve.

(ii) Rough diagram of an open curve made up entirely of line segments:


(iii) A polygon with two sides is not possible.