Question

which is a correct description of the polygon?
it is a concave pentagon because segment ae
would extend into the inside of the polygon, and it
has five sides.
it is a convex hexagon because it has six sides and
none of the sides would extend into the inside of the
polygon
it is a concave hexagon because segment ae would
extend into the inside of the polygon, and it has six
sides
it is a convex pentagon because it has five sides
and none of the sides would extend into the inside of
the polygon.

Explanation:

Step1: Count the number of sides

The polygon has 5 sides (AB, BC, CD, DE, EA). So it is a pentagon.

Step2: Determine concave or convex

A concave polygon has at least one side whose extension enters the interior of the polygon. If we consider side AE, its extension would enter the interior of the polygon.

Answer:

It is a concave pentagon because segment AE would extend into the inside of the polygon, and it has five sides.