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

Answer

The shape provided is an irregular polygon. Rotational symmetry refers to the number of times a shape can be rotated about a central point and still appear the same within a full 360-degree rotation. For a shape to have rotational symmetry of order greater than 1, it must be possible to rotate it by an angle less than 360 degrees and have it perfectly coincide with its original position. Let's analyze the given shape: - It has a pointed V-shape on the right side and a single point on the left side, resembling an arrow or a flag. - The angles and side lengths are not all equal, indicating it is not a regular polygon. If we rotate this shape by any angle less than 360 degrees, it will not look the same unless it's rotated back to its original 0-degree position. For instance, if you rotate it by 90 degrees, 180 degrees, or 270 degrees, its orientation will change, and it will not align with its initial position. All shapes have a rotational symmetry of order 1, because they will always look the same after a full 360-degree rotation. A shape is considered to have no rotational symmetry (unless stated otherwise, and in this context, it generally implies a symmetry order greater than 1) if its order of rotational symmetry is 1. Therefore, the given shape only looks the same after a 360-degree rotation. The order of rotational symmetry is 1.