Best answer gets

polygon abcde is the first in a pattern for a high school art project. the polygon is transformed so that the image of a' is at (−2, 2) and the image of d' is at (−3, 0). which transformation can be used to show that abcde and its image are congruent?

rotate abcde 90° counterclockwise.
translate abcde left 4 units and down 2 units.
reflect abcde over the x‐axis.
rotate abcde 90° clockwise.

Translate ABCDE left 4 units and down 2 units.

Step-by-step explanation:

The rule of rotation 90° counterclockwise: (x, y) →(–y, x)

The rule of translation left 4 units and down 2 units: (x, y) →(x-4 , y-2)

The rule of reflection over the x‐axis: (x, y) →(x, –y)

The rule of rotation 90° clockwise: (x, y) →(y, –x)

From the figure: A at (2,4)  and D at (1,2)

The polygon is transformed so that the image of A' is at (−2, 2) and the image of D' is at (−3, 0)

By choosing which of the previous rules is suitable to find the required.

So, the suitable transformation is Translate ABCDE left 4 units and down 2 units.