Question

The vertices A(-2,-1),B(-3,2) C(-1,3) and D(0,0) form a parallelogram. The vertices A’(-1,-2), B’(2,-3), C(3,-1), and D’(0,0) are the image of the parallelogram after the sequence of transformations. Which sequence of transformations could produce the image from the pre-image?

Answer 1

Its reflection over a line with an equation $y=x$.

This can also be seen by just simply observing how coordinates change after transformation.

Point $P(x,y)$ on parallelogram is after transformation $P'(y,x)$.

Hope this helps.