Answer:
Rotational symmetry of 180° about the origin: Yes.
Rotational symmetry of 270° about the origin: No.
Explanation:
A figure is a rotationally symmetrical if it look the same after a given turn.
We have to analyze if the parallelogram has rotational symmetry of 180° or 270°. picture the figure rotating a given amount of degrees to see if it looks the same or not.
180 degree rotation:
We can see that the figure looks the same after a 180° rotation.
270 degree rotation:
We can see that the figure does not look the same after a 270° rotation.
So the answer will be:
Rotational symmetry of 180° about the origin: Yes.
Rotational symmetry of 270° about the origin: No.
