Write three capital letters of the English alphabet that do not have line symmetry but have rotational symmetry?

Answer

To solve the question of identifying three capital letters of the English alphabet that do not have line symmetry but possess rotational symmetry, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Definitions**:
- **Line Symmetry**: A figure has line symmetry if it can be divided into two identical halves by a straight line (the line of symmetry).
- **Rotational Symmetry**: A figure has rotational symmetry if it can be rotated (less than a full circle) about a central point and still look the same.

2. **Identify Letters with Rotational Symmetry**:
- We need to find capital letters that, when rotated, appear the same but do not have a line of symmetry.

3. **Analyze Each Letter**:
- **Letter S**:
- **Line Symmetry**: No, because if you draw a line down the middle, the two halves are not identical.
- **Rotational Symmetry**: Yes, if you rotate it 180 degrees, it looks the same.
- **Letter N**:
- **Line Symmetry**: No, it does not have a line that divides it into two identical halves.
- **Rotational Symmetry**: Yes, when rotated 180 degrees, it appears the same.
- **Letter Z**:
- **Line Symmetry**: No, it does not have a line of symmetry.
- **Rotational Symmetry**: Yes, it looks the same when rotated 180 degrees.

4. **Conclusion**:
- The three capital letters that do not have line symmetry but have rotational symmetry are **S, N, and Z**.

### Final Answer:
The three capital letters of the English alphabet that do not have line symmetry but have rotational symmetry are **S, N, and Z**.