We want to determine the angles of rotational symmetry for the given figure. To do so, notice that our quadrilateral is a square which means it has four congruent sides. This means that if we draw two diagonals, they will intersect in the middle and create a right angle.
Notice that if we turn the square 90^(∘), it looks the same as before the rotation. This means that a rotation of 90^(∘) will map the square it onto itself. The same is true if we rotate the square 180^(∘).
As we can see, the rotation of 180^(∘) will also work. This means that the square has a rotational symmetry, and rotations of 90^(∘) and 180^(∘) map it onto itself. Therefore, the correct options are E and H.
