Geometry

Question Analysis

The question focuses on identifying the type of a regular polygon by determining the number of its sides. It tests the knowledge of polygon naming conventions within the topic of regular polygons.

 

Key Concept Explanation

Regular Polygons: These are closed - plane figures with all sides and all interior angles equal. Their names are based on the number of sides, with prefixes derived from Greek or Latin. For example, polygons with different numbers of sides have distinct names according to these naming systems.

 

Step - by - Step Solution

1. Visually count the number of sides of the given polygon. By carefully observing the polygon in the image, we can see that it has 10 sides.

2. Recall the naming convention for polygons. A polygon with 10 sides is called a decagon.

 

Option Analysis

A.Hexagon: A hexagon has 6 sides. Since the polygon in the image has 10 sides, this option is incorrect.

B.Nonagon: A nonagon has 9 sides. So, this option is not valid for the given polygon.

C.Decagon: This is the correct option as the polygon has 10 sides, which matches the definition of a decagon.

D.Octagon: An octagon has 8 sides, so this option does not apply to the polygon in question.