Question

Quadrilateral JKLM was dilated according to the rule
DO,One-half(x,y)(one-half x, one-half y) to create the image quadrilateral J'K'L'M', which is shown on the graph.

On a coordinate plane, quadrilateral J prime K prime L prime M prime has points (0, negative 2), (3, 2), (6, negative 2), and (3, negative 6).

What are the coordinates of vertex J of the pre-image?

(0, -4)
(0, -1)
(0, 0)
(0, 4)

Answer 1

Dilation with center O and scale factor 1/2 maps (x,y) to (1/2 x, 1/2 y). To get the pre-image, multiply the image coordinates by 2. J' = (0, −2) → J = (0, −4).

Answer: (0, -4)