A trapezoid generally has one pair of parallel sides, and its symmetry depends on the specific type of trapezoid.
For a typical (irregular) trapezoid, the only rotation that would turn the figure onto itself is a rotation of 360 degrees (a full rotation). This means that in a standard trapezoid, there are no angles less than 360 degrees that will align the trapezoid with its original position.
However, if you have a special type of trapezoid, such as an isosceles trapezoid, there could be a rotation of 180 degrees that would turn the figure onto itself.
In summary:
- For a general trapezoid: 360 degrees
- For an isosceles trapezoid: 180 degrees
Please refer to the specific trapezoid in question to determine the correct rotation.