A square has a rotational symmetry of order

Options

A. 1
B. 2
C. 3
D. 4

Answer

To determine the order of rotational symmetry of a square, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Definition of Rotational Symmetry**:
- A shape has rotational symmetry if it can be rotated around a central point and still look the same at certain angles.

2. **Identify the Shape**:
- In this case, we are dealing with a square. A square has four equal sides and four equal angles.

3. **Determine the Center of Rotation**:
- The center of a square is the point where the diagonals intersect. This is the point around which we will rotate the square.

4. **Rotate the Square**:
- Start with the square in its original position.
- Rotate the square by 90 degrees (a quarter turn). The square looks the same.
- Rotate it again by another 90 degrees (now 180 degrees total). The square still looks the same.
- Rotate it again by another 90 degrees (now 270 degrees total). The square still looks the same.
- Finally, rotate it one last time by 90 degrees (now 360 degrees total). The square returns to its original position.

5. **Count the Rotations**:
- We have found that the square looks the same after 90 degrees, 180 degrees, 270 degrees, and 360 degrees of rotation.
- This means there are 4 distinct positions where the square looks the same during a full rotation.

6. **Conclusion**:
- Therefore, the order of rotational symmetry of a square is 4.

### Final Answer:
The order of rotational symmetry of a square is **4**.