Which sequence of transformations produces a congruent figure? (x+2, 2y) (x+1, y−4) (−x, 3y) (x−2, y) (x+2, y) (−x, −2.5y) (−x, y) (x−4, y+2)

Question

Each answer choice represents a sequence of two transformations.

Answer 1

To maintain congruency, there must be no change of size, so any coefficient of x or y is ruled out.

That leaves (x+1, y-4), (x-2, y), (x+2, y), (-x, y), (x-4, y+2). 4 of these involve shifts right/left and/or up/down which will result in overlaying. The one remaining option is (-x, y) which is a simple reflection about the y-axis. This one preserves congruency.