Yes.
a cube!
1,4,2,5,3,6
A cube has 3-fold rotational symmetry, meaning it can be rotated by 120 degrees and still look the same. It does not have 5-fold rotational symmetry because the cube's faces are not oriented in a way that allows for that type of symmetry. The angles between the faces do not align with the requirements for 5-fold rotational symmetry.
A trapezium does not have rotational symmetry.
The letters H and Z have both line symmetry and rotational symmetry
It has 8lines of rotational symmetry
A trapezoid has no rotational symmetry.
Equilateral triangles have rotational symmetry.
It has rotational symmetry to the order of 2
No a Z doesn't have a rotational symmetry
A line has rotational symmetry of order 2.
It has line symmetry (straight down the center) but not rotational symmetry.