Geometry

Question Analysis

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

 

Key Concept Explanation

Polygons: A polygon is a single, closed - plane figure formed by straight line segments. The segments meet at vertices, and the figure encloses a continuous area without any gaps or breaks in the boundary.

 

Step - by - Step Solution

1. Examine the figure: The given figure consists of two separate shapes (a triangle and a quadrilateral) that are not joined to form a single, continuous closed shape.

2. Recall the definition of a polygon: Since a polygon must be a single, closed figure, and this figure is composed of two non - connected closed shapes, it does not meet the requirements of a polygon.

 

Option Analysis

Yes: This option is incorrect because the figure is not a single, closed shape but rather two separate shapes, which violates the definition of a polygon.

No: This is the correct option as the figure does not satisfy the criteria for being a polygon due to its non - single, non - continuous nature.

 

Common Mistakes

Misinte...