Question

select the correct answer
a parallelogram rotates about its center. at what angle of rotation will the image of the parallelogram coincide with its preimage?
a. 30°
b. 90°
c. 180°
d. 270°
e. 315°

Explanation:

Step1: Recall the property of parallelogram rotation

A parallelogram has rotational symmetry of order 2.

Step2: Calculate the angle of rotation

The angle of rotation for a figure with rotational symmetry of order \(n\) is \(\frac{360^{\circ}}{n}\). For \(n = 2\), \(\frac{360^{\circ}}{2}=180^{\circ}\).

Answer:

C. \(180^{\circ}\)