Examine whether the following are polygons. If anyone among these are not, say why?

Polygon is a closed shape that is joined end to end using a finite number of line segments.

Answer: The circle and the heart-shaped figure (options a and f) are not polygons as they are not made up of straight lines.

Let's look into the description of each of these figures.

Explanation:

(a) A circle is curved and has no straight lines. So, this is not a polygon.

(b), (c), (d), (e) - These shapes are polygons as they are closed figures made up of straight lines.

(f) A heart has no straight lines. So, this is not a polygon.

Thus, the circle and the heart-shaped figure (options a and f) are not polygons as they are not made up of straight lines.