Geometry

Question Analysis

The main focus of this question is to determine whether the given figure meets the criteria of a polygon, testing the understanding of the fundamental definition of polygons.

 

Key Concept Explanation

Polygons: A polygon is a closed - plane figure formed by a finite number of straight - line segments. The segments meet at their endpoints (vertices), and the figure has no gaps or overlaps in its boundary.

 

Step - by - Step Solution

1. Examine the figure: Notice that the figure is not a closed shape as there is a gap between the two end - points of the line segments.

2. Recall the definition of a polygon: Since a polygon must be a closed figure, and this figure is not closed, it does not meet the requirements of a polygon.

 

Option Analysis

Yes: This option is incorrect because the figure is not closed, which is a necessary condition for a polygon.

No: This is the correct option as the figure fails to meet the definition of a polygon due to its lack of closure.

 

Common Mistakes

Overlooking the requirement of closure and assuming that any figure made ...