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

Answer

The problem asks for the order of rotational symmetry of the given shape. Rotational symmetry is when a shape looks the same after some rotation. The order of rotational symmetry is the number of times a shape can be rotated by an angle less than 360 degrees and still look the same. If a shape has no rotational symmetry (other than 360 degrees), its order of rotational symmetry is 1. Let's examine the given shape. It's an irregular polygon. We can visually inspect if rotating it around a central point would make it look identical to its original position before a full 360-degree rotation. Looking at the shape, it has distinct features like the pointed indentation on the right side and the wider, less angled sides on the left. If you try to rotate this shape by any angle other than 0 or 360 degrees (e.g., 90 degrees, 180 degrees, 270 degrees), it will not perfectly overlap with its original position. For instance, if we rotate it 180 degrees, the pointed part on the right would move to the left side, and the overall orientation would be upside down and reversed, clearly not matching the original shape. Since the shape only looks identical to itself after a full 360-degree rotation, it has no rotational symmetry. In such cases, the order of rotational symmetry is defined as 1. Therefore, the order of rotational symmetry of the shape is 1.