Question

Square ABCD was translated using the rule (x, y) → (x – 4, y + 15) to form A'B'C'D'. What are the coordinates of point D in the pre-image if the coordinates of point D’ in the image are (9, –8)?

(13, –23)
(5, 7)
(18, 1)
(–6, –4)

Answer 1

To undo the translation, add 4 to the x-coordinate and subtract 15 from the y-coordinate:
(9 + 4, -8 - 15) = (13, -23).

Answer: (13, –23)