What Is a Convex Polygon?

Loosly speaking, a convex polygon is a polygon with no "dimples" in it i.e.

is a polygon, whereas

is not a convex polygon In addition, there are some other properties of convex polygons

** $\cdot$Every internal angle is less than or equal to 180 degrees.**

$\cdot$Every diagonal is inside the polygon

$\cdot$For each edge, the vertices not on the edge are on the same side of the edge

$\cdot$Each vertex's angle contains every other vertex of the polygon