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

Answer

The shape provided is an asymmetric T-shape. To determine the order of rotational symmetry, we need to find how many times the shape looks exactly the same during a full 360-degree rotation around its center point. 1. Identify the shape: The shape is a T-shape with an extended horizontal bar to one side, making it asymmetrical. 2. Consider rotation: Imagine rotating the shape around its approximate center. 3. Check for congruence: - At 0 degrees (its original position), the shape looks the same. - If you rotate it by 90 degrees, it will not look the same as the original. - If you rotate it by 180 degrees, the vertical arm will be pointing upwards and the horizontal bar will be on the opposite side, so it will not look the same as the original. - If you rotate it by 270 degrees, it will still not look the same. - Only when you rotate it by 360 degrees (back to its original position) will it look the same. 4. Determine the order: Since the shape only looks the same at 360 degrees (which is effectively the starting position), it has an order of rotational symmetry of 1. Many asymmetric shapes have an order of rotational symmetry of 1. Therefore, the order of rotational symmetry for this shape is 1.