How to Determine if a Given Polygon is Concave or Convex? Concave and convex polygons difference. In this video you will learn what is the difference between convex and concave polygons. Concave and convex polygons. Do you know what is the difference between concave and convex polygons? In this lecture, you will come to know "how to identify concave and convex polygons". One way to do this is to draw diagonals and another method is to watch the exterior angles. If any portion of any diagonal lie in exterior of polygons then the polygon is concave otherwise convex. We can also, figure it out by looking measure of exterior angle. If measure of any exterior angle is less than 180 degrees then the polygon is concave.