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

Answer

The shape looks like a rhombus, or at least a parallelogram, given that its opposite sides appear parallel and equal in length, and opposite angles appear equal. The center of rotation for a rhombus is the intersection of its diagonals. To find the order of rotational symmetry, we need to count how many times the shape looks exactly the same as it is rotated 360 degrees around its center. Let's consider rotating the shape: 1. At 0 degrees (its original position), the shape looks the same. 2. If we rotate the shape by 90 degrees, it will not look the same. For example, the horizontally aligned vertices will become vertically aligned, and the vertically aligned vertices will become horizontally aligned. 3. If we rotate the shape by 180 degrees, the shape will look exactly the same as its original position. The top vertex will move to the bottom, the bottom to the top, the left to the right, and the right to the left, but the overall appearance of the shape will be identical. 4. If we rotate the shape by 270 degrees (or -90 degrees), it will again not look the same. 5. If we rotate the shape by 360 degrees, it will return to its original position, looking the same. So, within a full 360-degree rotation, the shape looks identical to its original configuration 2 times (at 0 degrees and at 180 degrees). Therefore, the order of rotational symmetry is 2.