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

Answer

The shape displayed on the centimetre grid is a square. To find the order of rotational symmetry, we need to determine how many times the square can be rotated about its center through an angle less than 360 degrees and still look exactly the same. 1. Initial position: The square is in its original orientation. 2. Rotate 90 degrees clockwise: The square looks identical to its original position. 3. Rotate another 90 degrees (total 180 degrees) clockwise: The square again looks identical. 4. Rotate another 90 degrees (total 270 degrees) clockwise: The square still looks identical. 5. Rotate another 90 degrees (total 360 degrees) clockwise: The square is back to its original position, which is always counted. Since the square looks identical to its original position after rotations of 90 degrees, 180 degrees, and 270 degrees (and 360 degrees), it has 4 positions in total (including the starting position) where it maps onto itself within a full 360-degree rotation. Therefore, the order of rotational symmetry for a square is 4.