Question

rotational symmetry of parallelograms
what is the order of rotational symmetry for the parallelogram?

Explanation:

Step1: Recall the definition of rotational symmetry order

The order of rotational symmetry is the number of times a figure coincides with its original position when rotated \(360^{\circ}\) around its center.

Step2: Analyze the parallelogram's rotation

When a parallelogram is rotated \(180^{\circ}\) around its center, it coincides with its original position. Rotating \(360^{\circ}\) (which is \(2\times180^{\circ}\)) also coincides. But for angles like \(90^{\circ}\) or \(270^{\circ}\) (non - \(180^{\circ}\) multiples in this case), it does not.

Answer:

2