Question

Which shows the pre-image of quadrilateral W'X'Y'Z' before the figure was rotated according to the rule (x, y) → (–x, –y)?

On a coordinate plane, a quadrilateral has points W prime (2, 3), X prime (6, 3), Y prime (6, 4), Z prime (3, 5).

On a coordinate plane, a quadrilateral has points W (negative 3, 2), X (negative 3, 6), Y (negative 4, 6), Z (negative 5, 3).
On a coordinate plane, a quadrilateral has points W (3, negative 2), X (3, negative 6), Y (4, negative 6), Z (5, negative 3).
On a coordinate plane, a quadrilateral has points W (negative 2, negative 3), X (negative 6, negative 3), Y (negative 6, negative 4), Z (negative 3, negative 5).
On a coordinate plane, a quadrilateral has points W (negative 3, negative 2), X (negative 3, negative 6), Y (negative 4, negative 6), Z (negative 5, negative 3).

Answer 1

Apply the inverse of (x,y) → (−x,−y). Since this rotation is its own inverse, the pre-image is (−x′, −y′):

W = (−2, −3), X = (−6, −3), Y = (−6, −4), Z = (−3, −5).

(That matches the third choice.)