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′

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'.

468

step-by-step explanation: