Question

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

Explanation:

Step1: Understand 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 parallelogram rotation

When a parallelogram is rotated \(180^{\circ}\) (\(\frac{360^{\circ}}{2}\)) around its center, it coincides with its original position. Rotating \(360^{\circ}\) (\(360^{\circ}\div1 = 360^{\circ}\)) also makes it coincide. But the non - trivial (excluding \(360^{\circ}\)) rotation that works is \(180^{\circ}\). So the number of times it coincides in a \(360^{\circ}\) rotation (order) is \(2\) (at \(180^{\circ}\) and \(360^{\circ}\)).

Answer:

\(2\)