Question

select the correct answer. an irregular parallelogram rotates 360° about the mid - point of its diagonal. how many times does the image of the parallelogram coincide with its preimage during the rotation? a. 2 b. 4 c. 6 d. 8

Explanation:

Step1: Recall property of parallelogram

A parallelogram has rotational symmetry of order 2 about the intersection - point (mid - point of the diagonals).

Step2: Analyze rotation

When a parallelogram rotates 360° about the mid - point of its diagonal, it will coincide with its pre - image 2 times during the 360° rotation. This is because the center of rotation is the point of symmetry of the parallelogram, and for a parallelogram, a 180° rotation about this point maps the parallelogram onto itself.

Answer:

A. 2