Yes, because if you take a clover and fold it it will fold evenly like paper.
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If the leaf stem is present, it has symmetry of order 1. Otherwise, it can have rotational symmetry of order 3.
No a Z doesn't have a rotational symmetry
A trapezoid has no rotational symmetry.
It has line symmetry (straight down the center) but not rotational symmetry.
It does have rotational symmetry of order three.