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

Answer

The shape drawn on the grid is a rhombus (specifically, a square tilted by 45 degrees relative to the grid lines). To find the order of rotational symmetry, we need to determine how many times the shape looks identical to its original position within one full rotation (360 degrees). 1. **Original Position:** The shape is in its initial orientation. 2. **Rotation by 90 degrees:** If you rotate the shape by 90 degrees around its center, it will not look identical to its original position. The corners will move to the positions of the midpoints of the sides, and vice versa. 3. **Rotation by 180 degrees:** If you rotate the shape by 180 degrees around its center, it will look identical to its original position. The top vertex will move to the bottom, the right to the left, and so on, but the overall appearance will be the same. 4. **Rotation by 270 degrees:** If you rotate the shape by 270 degrees around its center, it will not look identical to its original position. 5. **Rotation by 360 degrees:** If you rotate the shape by 360 degrees around its center, it will return to its original position, obviously looking identical. So, within a 360-degree rotation, the shape looks identical to its original position twice (at 180 degrees and 360 degrees). Therefore, the order of rotational symmetry is 2.