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What is the order of rotational symmetry for the figure?
A. 3
B. 4 or more
C. 2
D. 1

To determine the order of rotational symmetry for the given figure, we need to find the number of times the figure maps onto itself during a full 360-degree rotation.

Here's the approach to solve the problem:

1. **Identify Symmetry Axes:**
   - The figure has lines of symmetry marked as 1, 2, and 3. These lines suggest points where the figure can be mapped onto itself during rotation.

2. **Evaluate Rotational Symmetry:**
   - A figure with rotational symmetry of order \( n \) means it can be rotated by \( \frac{360^\circ}{n} \) and still look the same.

3. **Analyzing the Given Figure:**
   - When the figure is rotated about the center by 120 degrees (360 degrees / 3), it maps onto itself. This is indicated by the presence of 3 lines of symmetry (1, 2, and 3).
   - Therefore, the figure has a rotational symmetry of order 3.

Thus, the correct answer is:

**A. 3**

Would you like more details or have any questions?

Here are some additional related questions you might find interesting:
1. What is the definition of rotational symmetry?
2. How do you identify lines of symmetry in a figure?
3. What is the difference between rotational symmetry and reflectional symmetry?
4. Can a figure have both rotational and reflectional symmetry?
5. How do you calculate the angle of rotation for a figure with given rotational symmetry?
6. What is an example of a figure with rotational symmetry of order 4?
7. How does rotational symmetry apply to real-world objects?
8. Can a figure have infinite rotational symmetry?

**Tip:** Always count the number of symmetrical divisions a figure has to determine its order of rotational symmetry.

Learn how to determine the order of rotational symmetry for a figure with a detailed step-by-step solution. This problem involves identifying symmetry axes, evaluating rotational symmetry, and analyzing a given figure. Suitable for students in Grades 7-9 studying geometry.

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