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The problem asks to determine whether the given figures have rotational symmetry, and if so, to identify the smallest angle of rotation for which the figure appears unchanged.

### Left Figure:
- The figure resembles the shape of a "4."
- **Rotational Symmetry:** No. The "4" does not appear unchanged at any rotation less than 360°. 
- **Angle of Rotation:** Not applicable since it lacks rotational symmetry.

### Right Figure:
- The right figure has three arms, forming a shape with apparent symmetry.
- **Rotational Symmetry:** Yes. The figure appears unchanged if rotated by certain angles.
- **Smallest Angle of Rotation:** Since there are three arms, the figure has rotational symmetry at multiples of \( \frac{360^\circ}{3} = 120^\circ \). Therefore, the smallest angle of rotation is **120°**.

Would you like any further explanation on rotational symmetry? Here are some related questions to expand on the topic:

1. What is the difference between rotational and reflectional symmetry?
2. Can a figure have both rotational and reflectional symmetry? Provide examples.
3. How does the number of arms (or sections) in a shape relate to its rotational symmetry?
4. Can a figure have more than one angle of rotational symmetry?
5. How can rotational symmetry be applied in real-life objects or designs?

**Tip:** For any figure with rotational symmetry, the smallest angle of rotation is always \( \frac{360^\circ}{n} \), where *n* is the number of times the figure fits into itself within a full rotation (360°).

For each figure below, determine if it has rotational symmetry. If it does, give the smallest angle of rotation needed for the figure to appear unmoved.

Learn how to determine if a figure has rotational symmetry and calculate the smallest angle of rotation. This problem involves figures such as a number and a three-armed shape, helping students understand geometry concepts and rotational symmetry. Suitable for Grades 6-8.

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