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 rectangle. To find the order of rotational symmetry, we need to determine how many times the shape looks exactly the same as its original position when rotated 360 degrees around its center. Let's consider the rectangle: 1. If we rotate it by 90 degrees (clockwise or counter-clockwise), it will not look the same as the original, as its longer side will now be vertical and its shorter side horizontal. 2. If we rotate it by 180 degrees, the rectangle will look exactly the same as its original position. The corners will have swapped positions, but the overall appearance of the shape will be identical. 3. If we rotate it by 270 degrees, it will again not look the same as the original (similar to the 90-degree rotation). 4. If we rotate it by 360 degrees, it will return to its original position. So, in a full 360-degree rotation, the rectangle looks identical to its original position 2 times (at 180 degrees and at 360 degrees). Therefore, the order of rotational symmetry of the rectangle is 2.