Final answer:
A regular polygon is a polygon that has all sides congruent and all angles congruent. Any polygon that does not satisfy these criteria is not a regular polygon. The options provided in the question do not accurately define regular polygons.
Step-by-step explanation:
A regular polygon is a polygon that has all sides congruent (equal) and all angles congruent. Therefore, any polygon that does not satisfy these criteria is not a regular polygon.
Let's consider each option:
- all have a round shape: This does not indicate that a polygon is regular. A regular polygon can have any shape, as long as all sides and angles are congruent.
- cannot have a long shape: This statement is not accurate. A regular polygon can have any shape, as long as all sides and angles are congruent.
- do not maintain any shape: If a polygon does not maintain any shape, it cannot be classified as a regular polygon. A regular polygon is defined by its consistent side lengths and angles.
- vary in shape: Again, a regular polygon can have various shapes, as long as all sides and angles are congruent. Therefore, a polygon varying in shape would not be considered regular.