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 key 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 46, 58, 63, and 49. Since these side lengths are not all equal, the polygon is not equilateral.
2. Examine the angle measures: The angle measures are 98°, 112°, 87°, and 63°. Since these angle measures are not all equal, the polygon is not equiangular.
Since the shape 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 shape 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
Assuming that a polygon is regular if it ...