What does the term n-gon refer to?

What does the term n-gon refer to?

• A. A polygon with n angles and n sides
• B. A polygon with n angles only
• C. A polygon that is not classified by sides
• D. A polygon with less than n sides

Answer: (A)

The term n-gon refers to a polygon that has both n angles and n sides. This definition is fundamental in geometry, as polygons are defined by their number of sides, which inherently corresponds to their number of angles. For example, a triangle is a 3-gon, having three sides and three angles, while a quadrilateral is a 4-gon, with four sides and four angles. In this context, the other options do not accurately represent the definition of an n-gon. A polygon with n angles only fails to account for the necessary relationship between sides and angles in a polygon. Similarly, stating that a polygon is not classified by sides or that it has less than n sides does not align with the definition of n-gons, as they are specifically characterized by having an equal number of sides and angles.

The term n-gon refers to a polygon that has both n angles and n sides. This definition is fundamental in geometry, as polygons are defined by their number of sides, which inherently corresponds to their number of angles. For example, a triangle is a 3-gon, having three sides and three angles, while a quadrilateral is a 4-gon, with four sides and four angles.

In this context, the other options do not accurately represent the definition of an n-gon. A polygon with n angles only fails to account for the necessary relationship between sides and angles in a polygon. Similarly, stating that a polygon is not classified by sides or that it has less than n sides does not align with the definition of n-gons, as they are specifically characterized by having an equal number of sides and angles.