Question

Paul is trying to dilate the figure ABCD with a scale factor of 2 with the center of dilation at the origin. At what points would he draw the new vertices A′B′C′D′
?

(1 point)
Responses

A′(−1,5), B′(3,7), C′(3,1), D′(3,−3)
A′(−1,5), B′(3,7), C′(3,1), D′(3,−3)

A′(−5,1), B′(−1,3), C′(2,.3), D′(−1,.7)
A′(−5,1), B′(−1,3), C′(2,.3), D′(−1,.7)

A′(−6,6), B′(2,10), C′(8,−2), D′(2,−10)
A′(−6,6), B′(2,10), C′(8,−2), D′(2,−10)

A′(−32,32), B′(12,52), C′(2,−12), D′(12,−52)

Answer 1

A′(−6,6), B′(2,10), C′(8,−2), D′(2,−10)

Reason: a dilation with center at the origin and scale factor 2 doubles each coordinate, so these are 2·(−3,3), 2·(1,5), 2·(4,−1), 2·(1,−5).