https://file.aiquickdraw.com/mathbot/file/1726264889968i0rri8jt.jpg

The image shows a geometric shape consisting of two overlapping squares: one upright and one rotated 45 degrees (a square within a square). To find the order of rotational symmetry, we need to determine how many times the shape looks identical when rotated 360°.

For this shape:
1. When rotated by 90°, it looks the same.
2. The same applies for rotations by 180°, 270°, and 360°.

Thus, the shape has rotational symmetry at 90°, 180°, 270°, and 360°, giving it an **order of 4**.

The correct answer is **4**.

Would you like more details or have any questions?

Here are 5 related questions to explore further:
1. What is rotational symmetry and how is it defined?
2. How does rotational symmetry differ from reflectional symmetry?
3. Can irregular shapes have rotational symmetry? Why or why not?
4. What other types of symmetries exist in geometric shapes?
5. How can rotational symmetry be applied in real-world designs?

**Tip**: Rotational symmetry of order \( n \) means the shape looks the same every \( \frac{360^\circ}{n} \).

What is the order of rotational symmetry for the shape below?

This problem involves finding the order of rotational symmetry for a geometric shape with overlapping squares. Learn about rotational symmetry, how to calculate it using 360° rotations, and how symmetry works in different shapes. Suitable for students in Grades 6-8.

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