What is the rotational symmetry for each shape please help with give brainlist

Answers in order from top to bottom:

Explanation:

Focus on point C of the hexagon. This point is the furthest to the right. We can rotate the hexagon 60 degrees clockwise so that point C moves to point D's original location. Then another 60 degrees clockwise has C move to point E's original location.

Note how each time we do a rotation like this, the hexagon has not changed if we ignore the point labels (imagine labels got covered up or smudged somehow)

The question is: how many times can we do this rotation before we have point C get back to its original location again? The answer is 6 times. The 6 corresponds exactly to the number of vertices we're working with since this hexagon is a regular hexagon.

Therefore, the order of symmetry for the hexagon is 6.

Similarly, the pentagon has order of symmetry 5

The rectangle has 4 vertices, but we can only do two rotations of 180 degrees each to have it line up with itself. So the order of symmetry here is 2.

The final figure has rotational symmetry of order 3 since we can rotate the figure 3 times to have it line up with itself.