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

Answer

The shape provided is a rhombus (a quadrilateral with all four sides equal in length). To find the order of rotational symmetry, we need to determine how many times the shape looks exactly the same during a full 360-degree rotation around its center. 1. **Identify the center of rotation**: For a rhombus, the center of rotation is the intersection point of its diagonals. 2. **Rotate the shape**: Imagine rotating the rhombus clockwise or counter-clockwise from its initial position. 3. **Count the matches**: * At 0 degrees (initial position), the shape looks the same. * As you rotate, the shape will not look the same until it has turned 180 degrees. At 180 degrees, it will appear exactly as it did in the initial position. * Continuing the rotation, it will not look the same again until it completes a full 360-degree rotation, at which point it's back to the original position. Therefore, the rhombus looks identical to its original position twice during a complete 360-degree rotation (at 180 degrees and at 360 degrees). This means its order of rotational symmetry is 2. Final Answer: The order of rotational symmetry is 2.