A shape is drawn on a centimetre grid. Write down the order of rotational symmetry of the shape.

Answer

The shape shown is a 'plus' sign or a cross shape. To determine the order of rotational symmetry, we need to find how many times the shape looks identical as it is rotated through 360 degrees about its center. 1. **Original position:** The shape is in its initial state. 2. **Rotate 90 degrees clockwise:** If we rotate the shape by 90 degrees clockwise about its center, it will look exactly the same as the original shape. 3. **Rotate 180 degrees clockwise:** Rotating it another 90 degrees (total 180 degrees) will again result in the shape looking identical to the original. 4. **Rotate 270 degrees clockwise:** Rotating it yet another 90 degrees (total 270 degrees) will also make the shape look identical. 5. **Rotate 360 degrees clockwise:** Rotating it one more 90 degrees (total 360 degrees) brings it back to its original position, which is counted as one instance. Since the shape looks identical at 0 (or 360), 90, 180, and 270 degrees as it rotates through 360 degrees, it has rotational symmetry of order 4. Therefore, the rotational symmetry of order is 4.