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

Answer

The shape drawn on the centimetre grid is a rectangle. To find the order of rotational symmetry, we need to determine how many times the shape looks exactly the same during a full rotation (360 degrees) around its center. 1. **Initial position:** The rectangle is as shown. 2. **Rotate 90 degrees:** The rectangle is on its side, it does not look the same as the original. 3. **Rotate 180 degrees:** The rectangle is upside down, but because of its rectangular properties (opposite sides are equal and parallel), it looks exactly the same as the original orientation. This is the first time it maps onto itself. 4. **Rotate 270 degrees:** The rectangle is again on its side, it does not look the same as the original. 5. **Rotate 360 degrees:** The rectangle is back to its original position, looking exactly the same. This is the second time it maps onto itself (including the starting position count). Therefore, the rectangle looks the same 2 times in a full 360-degree rotation (at 180 degrees and 360 degrees, with the 360-degree point being the same as the 0-degree starting point). The order of rotational symmetry is the number of times the shape coincides with itself during a 360-degree rotation. For a rectangle, the order of rotational symmetry is 2.