Question

Is the given figure a convex polygon, a non-convex polygon or neither?

Short answer

The given figure is a non-convex polygon.

Step-by-step solution

Step 1. Definition of convex polygon.

A polygon is a closed figure formed by joining the line segments such that each line segment intersects with only two other line segments, one at each endpoint.

A figure is said to be convex polygon if:

All the interior angles of the polygon are less than $180°$and all the diagonals drawn lies in the interior of the polygon.

Step 2. Observe the given diagram.

The given figure is:

Step 3. State whether the given figure is a convex polygon, non-convex polygon or neither.

The given figure is a non-convex polygon because all the interior angles of the polygon are not less than $180°$and all the diagonals drawn do not lie in the interior of the polygon.