Geometry

Question Analysis

The core of this question is to identify the type of polygon by counting its sides, testing the understanding of polygon naming rules in the context of regular polygons.

 

Key Concept Explanation

Regular Polygons: These are two - dimensional closed figures with straight sides, where all sides and angles are congruent. Their names are based on the number of sides, often using Greek - derived prefixes.

 

Step - by - Step Solution

1. Visually examine the polygon in the image. Count the number of its sides. We can see that it has 5 sides.

2. Recall the naming convention for polygons. A polygon with 5 sides is called a pentagon.

 

Option Analysis

A.Pentagon: Correct. Since the polygon has 5 sides, it is a pentagon.

B.Nonagon: A nonagon has 9 sides, so this option is incorrect.

C.Hexagon: A hexagon has 6 sides, so this option is wrong.

D.Octagon: An octagon has 8 sides, so this option is incorrect.

 

Co...