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. A rhombus is a quadrilateral with all four sides equal in length. It's a special type of parallelogram. Rotational symmetry is when a shape looks the same after being rotated by a certain angle around a central point. The order of rotational symmetry is the number of times the shape looks identical during a full 360-degree rotation. Let's consider the rhombus: 1. If you rotate the rhombus by 0 degrees (its original position), it looks the same. This is always true for any shape. 2. If you rotate the rhombus by 90 degrees around its center, it will not look the same (unless it's a square, which is a special type of rhombus). 3. If you rotate the rhombus by 180 degrees around its center, it will look exactly the same as its original position. The top vertex will move to the bottom, the bottom to the top, and the left to the right, and vice versa, but the overall shape's appearance is identical. 4. If you rotate the rhombus further, say by 270 degrees, it will again not look the same. 5. When you rotate it by 360 degrees, it returns to its original position, which is counted as a rotation where it looks the same. So, during a full 360-degree rotation, the rhombus appears identical at two positions: its initial position (0 degrees) and after a 180-degree rotation. Therefore, the order of rotational symmetry for a rhombus is 2. The answer is 2.