Question

Given here are some figures:

Classify each of them on the basis of the following:

1. Simple curve
2. Simple closed curve
3. Polygon
4. Convex polygon
5. Concave polygon

Answer 1

1. Simple curve: It is a curve that does not intersect itself. (i), (ii), (v), (vi) and (vii) are simple curve.
2. Simple closed curve: A closed curve if it does not pass through one point more than once (i), (ii), (v), (vi) and (vii) are simple closed curve.
3. Polygon: A simple closed curve made up of only line segments is called a polygon. (i) and (ii) are polygons.
4. Convex polygon: A polygon that has all its interior angles less than 180°. (ii) is a convex polygon.
5. Concave polygon: A polygon that has at least one interior angle greater than 180°. (i) is a concave polygon.