Question

How will you check whether a polygon is a concave or a convex polygon? Justify your answer.​

Answer 1

Answer:

Determine if the shapes below are convex or concave. To see if a polygon is concave, look at the polygons and see if any angle “caves in” to the interior of the polygon. The first polygon does not do this, so it is convex. The other two do, so they are concave.

Step-by-step explanation:

A planar polygon is convex if it contains all the line segments connecting any pair of its points. Thus, for example, a regular pentagon is convex (left figure), while an indented pentagon is not (right figure). A planar polygon that is not convex is said to be a concave polygon.

Answer 2

Step-by-step explanation:

look at the polygons and see if any angle “caves in” to the interior of the polygon.