Question

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

Explanation:

Step1: Recall the definitions

• A convex polygon has all interior angles less than \(180^{\circ}\) and all diagonals inside the polygon.
• A concave polygon has at least one interior angle greater than \(180^{\circ}\) (a "dent").
• A regular polygon has all sides and angles equal.
• A hexagon has 6 sides.
• An octagon has 8 sides.

Step2: Analyze the given polygon

• The given polygon has a "dent" (an interior angle greater than \(180^{\circ}\)), so it is concave.
• Counting the number of sides, we can see it has 6 sides, so it is a hexagon.
• It is not convex (because of the dent), not regular (sides and angles are not all equal).

Answer:

concave, hexagon