translated 3 units right and 2 units up. Then it is rotated 270 counterclockwise about the origin resulting in quadrilateral PQRS. How does the perimeter of quadrilateral ABCD compare with the perimeter of PQRS? Explain

Because the shape is not undergoing a dilation, the perimeter of the original image and the new image is the same. The only thing that is changing is the placement of the original figure.
I hope this helps! :)