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 rotation symmetry rule

A general parallelogram has rotational symmetry of order 2, meaning it maps to itself after a half-full rotation.

Step2: Calculate rotation angle

A full rotation is $360^\circ$, so half of that is $\frac{360^\circ}{2} = 180^\circ$.

Answer:

C. $180^\circ$