Which of the following letters does not have any line of symmetry?

Options

A. E
B. T
C. N
D. X

Answer

To determine which letter does not have any line of symmetry, we will analyze each option step by step.

### Step-by-Step Solution:

1. **Understanding Line of Symmetry**:
- A line of symmetry is a line that divides a shape into two identical parts that are mirror images of each other.

2. **Analyzing Option 1: E**:
- If we draw a vertical line down the middle of the letter E, we can see that the left side mirrors the right side.
- Therefore, E has a line of symmetry.

3. **Analyzing Option 2: T**:
- If we draw a vertical line down the middle of the letter T, the top part of T is symmetrical on both sides.
- Thus, T also has a line of symmetry.

4. **Analyzing Option 3: N**:
- If we try to draw a vertical or horizontal line through the letter N, we find that neither line divides N into two identical mirror images.
- Therefore, N does not have any line of symmetry.

5. **Analyzing Option 4: X**:
- If we draw a diagonal line from one corner of X to the opposite corner, we can see that both halves are identical.
- Hence, X has a line of symmetry.

6. **Conclusion**:
- After analyzing all the options, we find that the letter N is the only letter that does not have any line of symmetry.

### Final Answer:
The letter that does not have any line of symmetry is **N**.

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