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

Answer

The shape drawn on the centimetre grid is a rectangle. To find the order of rotational symmetry, we need to determine how many times the shape looks identical to its original position during a full rotation (360 degrees). The center of rotation for a rectangle is its geometric center (the intersection of its diagonals). Let's rotate the rectangle: 1. **0 degrees:** The shape is in its original position. 2. **90 degrees rotation:** The rectangle is now oriented differently (e.g., if it was wider than tall, it's now taller than wide). It does not look identical to its original position unless it's a square (which this is not, as it's 5 units wide and 3 units tall). 3. **180 degrees rotation:** The rectangle looks identical to its original position. The top edge is now at the bottom, and the bottom edge is at the top, but the overall appearance is the same. 4. **270 degrees rotation:** Similar to 90 degrees, it does not look identical to its original position. 5. **360 degrees rotation:** The rectangle returns to its original position, looking identical. So, during a full 360-degree rotation, the rectangle looks identical to its original position at 180 degrees and 360 degrees (which is the same as the starting 0 degrees). Including the starting position, there are two positions where it matches its original appearance. Therefore, the order of rotational symmetry for a rectangle is 2.