Question

An irregular parallelogram rotates 360 degrees about the point of the way its diagonal. How many times does the image of the parallelogram collide with its pre-image during the rotation?

a) 0 times
b) 1 time
c) 2 times
d) 3 times

Answer 1

The image of the irregular parallelogram rotating 360 degrees around its diagonal does not collide with its pre-image at all, resulting in 0 collisions.

Step-by-step explanation:

When an irregular parallelogram rotates 360 degrees about the midpoint of its diagonal, it completes one full rotation. Throughout this rotation, if we consider the diagonal as a fixed axis, the parallelogram will maintain its shape due to the rotational symmetry across the diagonal. Since the image and pre-image are always in sync, they do not collide with each other at any point during the rotation. Therefore, the image of the parallelogram collides with its pre-image 0 times.