Geometry

Question Analysis

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

 

Key Concept Explanation

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

 

Step - by - Step Solution

1. Examine the side lengths: In the given polygon, all side lengths are labeled as 150, indicating that all sides are of equal length.

2. Check the angle measures: All interior angles are labeled as 140°, meaning all angles are of equal measure.

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

 

Option Analysis

Yes: This is the correct option. The polygon is equilateral and equiangular, fulfilling the requirements of a regular polygon.

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

 

Common Mistakes

Forgetting that both equilateral and equiangu...