Does a pentagon have point symmetry?
Understand the Problem
The question is asking whether a pentagon, which is a five-sided polygon, possesses point symmetry. Point symmetry means that if a figure is rotated 180 degrees about a central point, it appears unchanged. To address this, we need to consider the properties of a regular pentagon and irregular pentagons to determine if point symmetry is present.
Answer
Yes, a regular pentagon has one point of symmetry.
The final answer is yes, a regular pentagon has one point of symmetry.
Answer for screen readers
The final answer is yes, a regular pentagon has one point of symmetry.
More Information
A regular pentagon has rotational symmetry of order 5, which implies that rotating the pentagon around its center by multiples of 72 degrees results in the same shape.
Tips
Confusing point symmetry with line symmetry is a common mistake. Line symmetry involves reflection over an axis, while point symmetry involves rotation around a central point.
Sources
- Point Symmetry - Definition, Examples, and Diagram - Math Monks - mathmonks.com
- A regular pentagon has one point of symmetry - Toppr - toppr.com
