A square has how many lines of symmetry

Options

A. one line of symmetry
B. two lines of symmetry
C. three lines of symmetry
D. four lines of symmetry

Answer

To determine how many lines of symmetry a square has, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Definition of Line of Symmetry**: A line of symmetry is a line that divides a shape into two identical halves that are mirror images of each other.

2. **Draw a Square**: Start by drawing a square. Label the corners as A, B, C, and D for reference.

```
A -------- B
| |
| |
D -------- C
```

3. **Identify the Lines of Symmetry**:
- **Vertical Line of Symmetry**: Draw a vertical line that goes through the midpoint of the square, dividing it into two equal rectangles. This is the first line of symmetry.
- **Horizontal Line of Symmetry**: Draw a horizontal line that goes through the midpoint of the square, dividing it into two equal rectangles. This is the second line of symmetry.
- **Diagonal Line of Symmetry (Top Left to Bottom Right)**: Draw a diagonal line from corner A to corner C. This is the third line of symmetry.
- **Diagonal Line of Symmetry (Top Right to Bottom Left)**: Draw a diagonal line from corner B to corner D. This is the fourth line of symmetry.

4. **Count the Lines of Symmetry**: After drawing all the lines, count them. You will find that there are four lines of symmetry in total.

5. **Conclusion**: Therefore, a square has four lines of symmetry.

### Final Answer:
A square has **four lines of symmetry**.

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