Which representation of a transformation on a coordinate grid does not preserve congruence?

(x, y)
у)
(x, y) → (-x, y) •
(x, y) → (x+6, y+1)
D (x, y) → (-y, x)

The representation of a transformation on a coordinate grid that does not preserve congruence is:

D (x, y) → (-y, x)

This transformation is a 90 degree counterclockwise rotation, which does not preserve congruence because the orientation of the figure is changed.