If a 7-sided polygon has 7 lines of symmetry and a rotational order of 7, what is the best name for the polygon?
A.Perfect polygon
B.Regular polygon
C.Symmetrical polygon
D.Special polygon

The best name for the polygon in this case is:

**B. Regular polygon.**

A **regular polygon** is defined as a polygon that is both **equilateral** (all sides are of equal length) and **equiangular** (all angles are equal). A regular polygon also exhibits specific properties like having multiple lines of symmetry and rotational symmetry, which fits the description given:

- **7 lines of symmetry**: This indicates the polygon is symmetrical about each of its vertices.
- **Rotational order of 7**: This means the polygon can be rotated by \( \frac{360^\circ}{7} \) (i.e., 51.43°) and still look the same, which is characteristic of regular polygons.

Would you like further clarification or details on any aspects of this?

Here are 5 related questions to expand on this topic:
1. What is the formula for calculating the interior angles of a regular polygon?
2. How does the number of lines of symmetry relate to the number of sides in a regular polygon?
3. Can a polygon with an odd number of sides still be classified as regular?
4. What is the difference between a regular and an irregular polygon?
5. How can the area of a regular 7-sided polygon be calculated?

**Tip**: The sum of the interior angles of any polygon is given by the formula \( 180(n-2) \), where \( n \) is the number of sides.

If a 7-sided polygon has 7 lines of symmetry and a rotational order of 7, what is the best name for the polygon? A. Perfect polygon B. Regular polygon C. Symmetrical polygon D. Special polygon

Explore the properties of a regular 7-sided polygon, including its 7 lines of symmetry and rotational order of 7. This problem covers key geometry concepts like polygon symmetry, rotational symmetry, and the classification of regular polygons. Suitable for students in Grades 6-8.

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