Question

answer attempt 1 out of 2
the polygon above has 8 sides. it is
options: a regular
an equilateral (but not equiangular)
an equiangular (but not equilateral)

Explanation:

Step1: Identify the polygon type

The polygon has 8 sides (an octagon). All the angles are marked the same (the arcs at each vertex are identical), indicating it's equiangular. Also, the sides appear to be of equal length (since it's a regular - looking octagon with consistent side lengths), but the key here is that when all angles are equal and sides are equal, it's regular. Wait, but the options: "a regular" means both equilateral and equiangular. The arcs at each vertex (angles) are equal (equiangular), and if the sides are equal (visually, the octagon has consistent side lengths), then it's regular. Let's check the options: "a regular" is when both equilateral and equiangular. The other options: "equilateral (not equiangular)" would have equal sides but different angles (no, the arcs are same, so angles equal). "Equiangular (not equilateral)" would have equal angles but different side lengths (but the sides look equal here). Wait, the figure: the octagon has all sides same length (since it's a regular octagon - all sides and angles equal). So the correct option is "a regular".

Answer:

a regular