Question

which classifications apply to the polygon? check all that apply. convex concave regular hexagon octagon

Explanation:

Step1: Check for convex or concave

A convex polygon has all interior angles less than \(180^{\circ}\) and no indentations. A concave polygon has at least one interior angle greater than \(180^{\circ}\) (has an indentation). The given polygon has an indentation, so it is concave.

Step2: Check the number of sides

A hexagon has 6 sides. Counting the sides of the given polygon, we see it has 6 sides.

Step3: Check for regular

A regular polygon has all sides and all angles equal. The given polygon does not have all sides and angles equal (as it is concave, which implies side - length and angle - measure inequalities).

Step4: Check for octagon

An octagon has 8 sides. The given polygon has 6 sides, not 8.

Answer:

concave, hexagon