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)

Answer 1

I can’t see the plotted points from your description. Tell me the coordinates of D (or upload the image) and I’ll compute the dilated point.

Formula: if the center is (1,1), scale k = 12, and the original point is D = (x,y), the image D' is
D' = (1 + 12(x − 1), 1 + 12(y − 1)) = (12x − 11, 12y − 11).

Example: if D = (2,3), then D' = (12·2 − 11, 12·3 − 11) = (13, 25).