Question

1. Classify the polygon by its number of sides.

a) Triangle
b) Quadrilateral
c) Pentagon
d) Hexagon
II. Determine if the polygon is equilateral, equiangular, regular, or NONE.
a) Equilateral
b) Equiangular
c) Regular
d) NONE

Answer 1

A triangle has 3 sides, a quadrilateral has 4 sides, a pentagon has 5 sides, and a hexagon has 6 sides. None of these polygons are equilateral, equiangular, or regular.

Step-by-step explanation:

The question is asking to classify the given polygon by its number of sides and determine if it is equilateral, equiangular, regular, or NONE. Let's go through each option:

1. a) Triangle: A triangle has 3 sides, so this polygon falls into the category of a triangle. It is also possible for a triangle to be equilateral if all three sides are equal in length, equiangular if all three angles are equal, and regular if it is both equilateral and equiangular.
2. b) Quadrilateral: A quadrilateral has 4 sides, so this polygon falls into the category of a quadrilateral. It can be equilateral if all four sides are equal in length, equiangular if all four angles are equal, and regular if it is both equilateral and equiangular.
3. c) Pentagon: A pentagon has 5 sides, so this polygon falls into the category of a pentagon. It cannot be equilateral, equiangular, or regular as it does not satisfy the conditions for any of those classifications.
4. d) Hexagon: A hexagon has 6 sides, so this polygon falls into the category of a hexagon. It cannot be equilateral, equiangular, or regular as it does not satisfy the conditions for any of those classifications.

Therefore, the classifications for each polygon are: a) Triangle, b) Quadrilateral, c) Pentagon, d) Hexagon II. As for the second part of the question, none of these polygons are equilateral, equiangular, or regular.