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The image shows a question asking to determine the order of rotational symmetry of the given shape, which is an octagon (a polygon with 8 sides).

The **order of rotational symmetry** is the number of times a shape fits onto itself during a 360-degree rotation. For a regular polygon, the order of rotational symmetry is equal to the number of sides. Since the shape shown is a regular octagon, it has 8 sides.

Therefore, the correct answer is:
**8**

Would you like more details or have any further questions?

Here are 5 related questions:
1. What is the order of rotational symmetry for a regular hexagon?
2. How do you calculate the angle of rotation for a regular polygon with \( n \) sides?
3. Can an irregular polygon have the same order of rotational symmetry as a regular polygon? Why or why not?
4. What is the difference between rotational symmetry and reflectional symmetry?
5. How many lines of symmetry does a regular octagon have?

**Tip:** The angle of rotation for a shape with \( n \) sides is \( \frac{360^\circ}{n} \). For an octagon, this is \( \frac{360^\circ}{8} = 45^\circ \).

Find the order of rotational symmetry in this shape.

Determine the order of rotational symmetry for a regular octagon. This problem explores key geometric concepts, including symmetry and properties of polygons. Suitable for students in Grades 6-8.

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