Question

Use the image to answer the question.

A coordinate plane's axes range from negative 1 to 4 by 1-unit increments. 4 points forming a rectangle are plotted. They are labeled upper A, upper B, upper C, and upper D, respectively.

Suppose you dilate the rectangle on the coordinate plane using a magnitude of 12
and the center of dilation at (1,1)
. What would be the corresponding ordered pair to the current point D
?

(1 point)

Coordinates are A(1,1) B(0,2) C(2,4) D(3,3)

Answer 1

Scale factor is 1/2 about center (1,1). Vector from center to D: (3-1, 3-1) = (2,2). Multiply by 1/2 → (1,1). Add back to center: (1,1)+(1,1) = (2,2).

So D' = (2,2).