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.