Which of the following letters have both horizontal and vertical lines of symmetry?

Options

A. Y
B. A
C. X
D. C

Explanation

To determine which letters have both horizontal and vertical lines of symmetry, we can analyze each letter step by step.

### Step-by-Step Solution:

1. **Understanding Symmetry**:
- A letter has vertical symmetry if it can be divided into two identical halves by a vertical line.
- A letter has horizontal symmetry if it can be divided into two identical halves by a horizontal line.

2. **Analyzing the Letter 'Y'**:
- **Vertical Symmetry**: If we draw a vertical line through the center of 'Y', the two halves are not identical.
- **Horizontal Symmetry**: If we draw a horizontal line through the center of 'Y', the two halves are not identical.
- **Conclusion**: 'Y' has neither vertical nor horizontal symmetry.

3. **Analyzing the Letter 'A'**:
- **Vertical Symmetry**: A vertical line through the center of 'A' divides it into two identical halves.
- **Horizontal Symmetry**: A horizontal line through the center of 'A' does not divide it into two identical halves.
- **Conclusion**: 'A' has vertical symmetry but not horizontal symmetry.

4. **Analyzing the Letter 'X'**:
- **Vertical Symmetry**: A vertical line through the center of 'X' divides it into two identical halves.
- **Horizontal Symmetry**: A horizontal line through the center of 'X' also divides it into two identical halves.
- **Conclusion**: 'X' has both vertical and horizontal symmetry.

5. **Final Conclusion**:
- The letter that has both horizontal and vertical lines of symmetry is **'X'**.

### Answer:
The letter that has both horizontal and vertical lines of symmetry is **'X'**.