A diamond has two rotation symmetry. It is possible to have a diamond that does have four of rotation symmetry.
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A diamond has 4 lines of symmetry.
Rotational symmetry is based on points of rotation not lines
4
A nonagon has 9 rotation symmetry
A rhombus is a quadrilateral that has no line of symmetry but has rotation symmetry. Rotation symmetry means that the shape can be rotated by a certain degree and still look the same. In the case of a rhombus, it has rotational symmetry of order 2, meaning it can be rotated by 180 degrees and still appear unchanged.