Question

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

Answer 1

A curve is said to be simple if it does not cross itself.

(a) Simple curve $\to 1,2,5,6,7$

A simple closed curve is that curve which forms a path which starts and ends at the same point.

(b) Simple closed curve $\to 1,2,5,6,7$

A polygon is a two dimensional closed figure which consists of sides and vertices.
(c) Polygon $\to 1,2$

A polygon in which the measure of each interior angle is less than ${180}^o$ is called as a convex polygon.

(d) Convex polygon $\to 2$

A polygon in which the measure of one interior angle is greater than ${180}^o$ is called as a concave polygon.
(e) Concave polygon $\to 1$