https://file.aiquickdraw.com/mathbot/file/172675491437096i36i3c.jpg

The image provided shows a geometric figure, and the question asks to "Identify the smallest angle of rotation that maps the image to itself." The possible options are:

- 360°
- 90°
- No rotational symmetry
- 180°

Looking at the figure, it resembles a shape with bilateral symmetry, which suggests it has rotational symmetry at 180°. This means that if you rotate the shape by 180°, it will map onto itself. Therefore, the correct answer is **180°**.

Would you like more details on rotational symmetry or help with other related concepts?

Here are 5 related questions for practice:
1. What is the definition of rotational symmetry in geometry?
2. Can a shape have more than one angle of rotational symmetry?
3. What is the smallest angle of rotation that will map a square onto itself?
4. How would you determine the rotational symmetry of a polygon?
5. Is the angle of rotational symmetry always less than or equal to 360°?

**Tip:** To find rotational symmetry, imagine rotating the shape around its center and see when it matches its original position before completing a full 360° rotation.

Identify the smallest angle of rotation that maps the image to itself.

This problem involves identifying the smallest angle of rotation that maps a geometric shape onto itself. The solution focuses on understanding rotational symmetry in geometry, making it ideal for students in Grades 6-8.

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