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

Answer

The shape provided is a rhombus. Rotational symmetry is when a shape can be rotated less than a full turn (360 degrees) about a central point, and it still looks the same as the original. The order of rotational symmetry is the number of times the shape looks identical within one full rotation (360 degrees). For the given rhombus: 1. If we rotate the rhombus by 0 degrees (its starting position), it looks identical to itself. This is counted as one instance. 2. If we rotate the rhombus by 180 degrees, it will again look identical to its original position. The top vertex will move to the bottom, the bottom vertex to the top, and the side vertices will swap positions, but the overall shape will superimpose perfectly onto the original. 3. If we rotate it by 360 degrees, it returns to its original position, which is effectively the same as 0 degrees. We count rotations within the 0 < angle <= 360 range (or 0 <= angle < 360 depending on convention, typically the starting position is always counted). Thus, within a full rotation, the rhombus aligns with its original orientation twice (at 0 degrees and 180 degrees). Therefore, the order of rotational symmetry is 2.