A shape is drawn on a centimetre grid. [Image of a rhombus/kite-like shape on a grid] Write down the order of rotational symmetry of the shape.

A shape is drawn on a centimetre grid.

[Image of a rhombus/kite-like shape on a grid]

Write down the order of rotational symmetry of the shape.

Answer

The shape shown on the grid is a rhombus. A rhombus is a quadrilateral with all four sides of equal length. For a general rhombus (which is not a square), the order of rotational symmetry is 2. This means that the shape will look exactly the same two times during a full 360-degree rotation around its center. Let's verify this: 1. Imagine the rhombus in its initial position. 2. Rotate it by 90 degrees. It will not align with its original position. 3. Rotate it by 180 degrees. The rhombus will align perfectly with its original position. 4. Rotate it by 270 degrees. It will not align. 5. Rotate it by 360 degrees. It will align perfectly (back to its starting position).) Since it aligns twice in a full 360-degree rotation (at 180 degrees and 360 degrees), its order of rotational symmetry is 2. Therefore, the order of rotational symmetry of the shape is 2.