Suppose that rectangle ABCD is dilated to A'B'C'D' using the origin as the center and a scale factor of 1/2.
What would be the coordinates of D'?
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a
(-2, 2)
b
(4, -4)
c
(8, -8)
d
(2, -2)
The correct answer is d) (2, -2).
To find the coordinates of D' after the dilation, we multiply the coordinates of D by the scale factor of 1/2:
x-coordinate of D' = 1/2 * x-coordinate of D = 1/2 * (-4) = -2
y-coordinate of D' = 1/2 * y-coordinate of D = 1/2 * 4 = 2
Therefore, the coordinates of D' are (-2, 2), which corresponds to answer choice d).