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 coordinates of the new point D' can be found by multiplying the coordinates of the original point D by the scale factor of 1/2 and reflecting the result across the origin.
D has coordinates (4,-2), so when we multiply by 1/2, we get (2,-1). Reflecting across the origin gives (-2,1).
Therefore, the correct answer is (a) (-2,2).