Geometry

Question Analysis

The main focus of this question is to determine whether the given shape meets the criteria of a regular polygon. It tests the understanding of the properties that define regular polygons.

 

Key Concept Explanation

Regular Polygons: A regular polygon is a polygon that is both equilateral (all sides are of equal length) and equiangular (all interior angles are of equal measure).

 

Step - by - Step Solution

1. Examine the side lengths: In the given pentagon, all side lengths are labeled as 106, which means all sides are of equal length.

2. Check the angle measures: All interior angles are labeled as 108°, indicating that all angles are of equal measure.

3. Since the shape is both equilateral and equiangular, it meets the definition of a regular polygon.

 

Option Analysis

Yes: This is the correct option. The shape is equilateral (equal - side lengths) and equiangular (equal - angle measures), fulfilling the requirements of a regular polygon.

No: This option is incorrect as the shape does satisfy the criteria for being a regular polygon.

 

Common Mistakes

Forgetting one of the two key properties (equil...