Answer:

A polygon is convex if all of its edges go outwards rather than inwards. A convex polygon is a simple polygon whose interior is a convex set. The following properties of a simple polygon are all equivalent to convexity.

• Every internal angle is less than 180 degrees or equal to 180 degrees.
• Every line segment between two vertices of the polygon does not go exterior to the polygon (i.e., it remains inside or on the boundary of the polygon).

Example of a Convex Polygon: