https://file.aiquickdraw.com/mathbot/file/1727047268739z9ycwec1.jpg

The image depicts a wheel with spokes, and the question asks for the smallest number of degrees you need to rotate the image so that it looks the same.

### Step-by-step solution:
1. **Count the spokes**: The wheel has spokes radiating from the center, and we need to find out how many identical spokes it has. Upon close inspection, it looks like there are 12 evenly spaced spokes.

2. **Rotational symmetry**: An object has rotational symmetry if it looks the same after a certain amount of rotation. The smallest angle of rotation for such symmetry can be calculated by dividing 360° by the number of identical spokes.

3. **Formula**: 
   \[
   \text{Smallest angle of rotation} = \frac{360^\circ}{\text{number of identical segments}} = \frac{360^\circ}{12} = 30^\circ
   \]

So, the smallest number of degrees you need to rotate the image for it to look the same is **30°**.

Would you like further details or have any additional questions?

Here are five related questions for further exploration:
1. What would the smallest rotation angle be if the wheel had 8 spokes?
2. How do you calculate rotational symmetry in a non-circular object?
3. Can an object have rotational symmetry without reflection symmetry?
4. How would you describe rotational symmetry in terms of group theory?
5. What are some real-world examples of objects with rotational symmetry?

**Tip:** For objects with rotational symmetry, divide 360° by the number of identical sections to find the smallest angle of symmetry!

This image has rotational symmetry. What is the smallest number of degrees you need to rotate the image for it to look the same?

Discover how to find the smallest angle of rotation for an image with 12 evenly spaced spokes. This problem helps students understand rotational symmetry, featuring step-by-step calculations. Suitable for Grades 5-7.

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