Question

what is the order of rotational symmetry for the parallelogram? 0 1 2 4

Explanation:

Step1: Recall the definition of rotational symmetry order

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

Step2: Analyze the parallelogram

When a parallelogram is rotated \(180^{\circ}\) (\(\frac{360^{\circ}}{2}\)) around its center (the intersection point of its diagonals), it coincides with its original position. And \(360^{\circ}\) rotation also makes it coincide (but we count non - overlapping coincidences in the range \(0^{\circ}<\theta\leq360^{\circ}\)). So the number of times it coincides is 2.

Answer:

2