Answer: 7, equilateral, heptagon
Step-by-step explanation: Hello!
The first thing you can see is that the polygon has 7 sides.
Secondly, a regular polygon is a polygon that has all equal angles and all equal sides.
An equiangular polygon is a polygon with all equal angles but not all equal sides.
An equilateral polygon is a polygon with all equal sides but not all equal angles.
You can tell by the shape of the polygon that the polygon does not have all equal angles. The only way you can say that the polygon is equiangular is if it is proven to be true or it is given. Even if the angles look congruent, you can never say that they are unless you know it for a fact. This is because diagrams are always misleading.
This means that the polygon is not a regular polygon and is not an equiangular polygon. This means that the polygon is equilateral. Let's check.
All sides clearly show that the measure of each is 8. Since it is given and it is a fact that all sides are congruent, the polygon is definitely equilateral.
The last thing you need to do is to find if the shape is a hexagon, heptagon, or octagon. You can find that by knowing which shapes are which just by counting the sides:
3 sides - Triangle
4 sides - square
5 sides - pentagon
6 sides - hexagon
7 sides - heptagon
8 sides - octagon
9 sides - nonagon
10 sides - decagon
etc.
You know that since the polygon has 7 sides, the shape is a heptagon.