Given here are some figures.

Classify each of them on the basis of the following.
(a) Simple curve
(b) Simple closed curve
(c) Polygon
(d) Convex polygon
(e) Concave polygon."

To do:  

We have to classify each of the given figures on the basis of the following.

(a) Simple curve
(b) Simple closed curve
(c) Polygon
(d) Convex polygon
(e) Concave polygon.

Solution:

We know that,

Simple curves:

Simple curves do not cross or intersect.

Simple closed curve:

Does not have end points and does not intersect.

Polygon:

A polygon is a closed plane or two-dimensional figure whose sides are straight line segments. 

Convex Polygon:

A polygon is convex if it contains all the line segments connecting any pair of its points.

Concave Polygon:

A polygon that is not convex is said to be a concave polygon.

Therefore,

(a) Figures 1, 2, 5, 6 and 7 are simple curves

(b) Figures 1, 2, 5, 6 and 7 are simple closed curves.

(c) Figures 1 and 2 are polygons

(d) Figure 2 is a convex polygon.

(e) Figure 1 is a concave polygon.