trapezoid A′B′C′D′ is a translation of a preimage trapezoid that was shifted 4 units to the right and 5 units down. What are the coordinates of A , B , C , and D of the preimage trapezoid?

Let's assume that A′B′C′D′ is the trapezoid after translation and A, B, C, D are the coordinates of the preimage trapezoid.

Given that the trapezoid was shifted 4 units to the right and 5 units down, the translation vector is (4, -5).

Therefore, the coordinates of A will be (A′x - 4, A′y + 5), the coordinates of B will be (B′x - 4, B′y + 5), the coordinates of C will be (C′x - 4, C′y + 5), and the coordinates of D will be (D′x - 4, D′y + 5).

If you provide the coordinates of A′B′C′D′, I can help you calculate the coordinates of the preimage trapezoid.