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

Answer

The given shape is an irregular pentagon. Rotational symmetry refers to the number of times a shape can be rotated less than 360 degrees about a central point and still look the same as the original shape. An order of rotational symmetry of 1 means the shape only looks the same after a full 360-degree rotation. For a shape to have an order of rotational symmetry greater than 1, it must be able to be rotated by less than 360 degrees and map onto itself. Observing the given pentagon, it has five sides of varying lengths and angles. If you rotate this shape by any angle less than 360 degrees, it will not align perfectly with its original position unless it is rotated by a full 360 degrees. Therefore, the shape does not possess rotational symmetry of order greater than 1. Its order of rotational symmetry is 1.