Geometry

Question Analysis

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

 

Key Concept Explanation

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

 

Step - by - Step Solution

1. Examine the side lengths: The side lengths of the polygon are 76, 84, 97, 85, 81, 79, 68. Since these side lengths are not all equal, the polygon is not equilateral.

2. Examine the angle measures: The angle measures are 132°, 99°, 120°, 115°, 169°, 110°, 135°. Since these angle measures are not all equal, the polygon is not equiangular.

 

Since the polygon fails to be both equilateral and equiangular, it does not meet the definition of a regular polygon.

 

Option Analysis

Yes: This option is incorrect. The polygon is neither equilateral nor equiangular, so it cannot be a regular polygon.

No: This is-  the correct option. The polygon does not satisfy the requirements of being both equilateral and equiangular.

 

Common Mistakes

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