Question

Irregular polygon with six sides; not all diagonals are contained within the polygon.

Answer 1

Answer: concave hexagon

Step-by-step explanation:

Concave polygons have diagonals that are outside of the polygon. In a convex polygon, all the diagonals are inside, so we know it can’t be convex.

Hexagons have six sides, while pentagons have five sides, so it must be a hexagon.

So, concave hexagon is correct or choice 3

Answer 2

Answer:

concave hexagon

Step-by-step explanation:

First off, from the problem, we see that this polygon has six sides. Any type of polygon with 6 sides, regardless its classification, is called a "hexagon" of some form. So, eliminate all the answer choices that do not include the word "hexagon".

We're now left with "convex hexagon" and "concave hexagon". We need to define these terms. "Convex" polygons have all their vertices pointing away from the interior, while "concave" polygons have at least one vertex pointing inwards toward the center of the shape.

If concave polygons have some vertices inside the polygon, then when connecting vertices to each other (these segments are called "diagonals"), the diagonals will not necessarily be contained within the polygon. Looking back at the problem, we see that this describes what we want.

Thus, the answer is "concave hexagon".

Hope this helps!