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

Answer

The shape provided is a cross shape, commonly known as a plus sign. To determine the order of rotational symmetry, we need to find how many times the shape looks exactly the same as its original position while being rotated 360 degrees around its center. 1. Identify the center of the shape: The center of the cross is where the horizontal and vertical bars intersect. 2. Rotate the shape: Imagine rotating the shape around its center. 3. Count the positions where it looks identical: - At 0 degrees (original position), it looks the same. - Rotate it 90 degrees clockwise. The shape will appear identical to its original orientation. - Rotate it another 90 degrees (total 180 degrees). The shape will again appear identical. - Rotate it another 90 degrees (total 270 degrees). The shape will once more appear identical. - Rotate it another 90 degrees (total 360 degrees) to return to the starting position, where it looks identical. Since the shape looks identical at 0, 90, 180, and 270 degrees (before returning to 360 degrees, which is the same as 0), there are 4 positions in a full 360-degree rotation where the shape maps onto itself. Therefore, the order of rotational symmetry is 4.