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

Answer

The given shape is a plus sign. To find the order of rotational symmetry, we need to determine how many times the shape looks exactly the same when rotated by less than 360 degrees around its center point. 1. Identify the center of the shape. For this symmetrical plus sign, the center is the middle grid point where the horizontal and vertical bars intersect. 2. Imagine rotating the shape clockwise around its center. 3. After a 90-degree rotation, the shape will look exactly like the original. The top bar will be on the right, the right bar at the bottom, and so on, but the overall appearance remains unchanged. 4. After another 90-degree rotation (total 180 degrees), the shape again looks identical to the original. 5. After a third 90-degree rotation (total 270 degrees), the shape still looks identical to the original. 6. After a fourth 90-degree rotation (total 360 degrees), the shape returns to its starting position, which also counts as one instance where it looks the same. Since the shape looks the same 4 times during a full 360-degree rotation (at 0, 90, 180, and 270 degrees), its order of rotational symmetry is 4.