Question

Rectangle ABCD has vertices A(1, 2) , B(4, 2) , C(1, −2) , and D(4, −2) . A dilation with a scale factor of 6 and centered at the origin is applied to the rectangle.
Which vertex in the dilated image has coordinates of (24, 12)

A.A′

B.B′

C.C′

D.D′

Answer 1

B because its ratio matches the (4,2)

Answer 2

Answer:

B.B′

Step-by-step explanation:

In a dilation, the coordinates of each point are multiplied by the scale factor.

For a point to have an image at (24, 12) with a scale factor of 6, we would have begun at

(24/6, 12/6) = (4, 2)

These are the coordinates of B, so the image point would be B'.