Question

show instructions
question 2 (2 points)
classify the polygon by the number of sides. tell whether the polygon is equilateral, equiangular, or regular.

classify by # sides (name it): ______
equilateral, equiangular, regular, or neither: ______

blank 1:
blank 2:

Explanation:

Step1: Count the number of sides

The polygon in the diagram has 6 sides. A polygon with 6 sides is called a hexagon.

Step2: Analyze equilateral, equiangular, or regular

• Equilateral: A polygon is equilateral if all its sides are equal in length. From the markings on the sides (the tick marks), we can see that the sides are marked in a way that indicates equal lengths (some sides have one tick, some have two, but within each group, they are equal, and overall, the side lengths seem to be equal as per the diagram's markings).
• Equiangular: A polygon is equiangular if all its interior angles are equal. The diagram shows that all the interior angles are marked with the same arc, indicating that all interior angles are equal.
• Regular: A polygon is regular if it is both equilateral and equiangular. Since this hexagon has all sides equal (equilateral) and all angles equal (equiangular), it is regular.

Answer:

Blank 1: Hexagon
Blank 2: Regular