Answer:
D. (x, y) →[TeX](\frac{1}{2}x,\frac{1}{2}y)[/TeX]
Explanation:
A dilation is a transformation which reproduces an image of the same shape as the original, but might be of a different size.
When the dilation produces a smaller image is called a reduction.
Mathematically, a reduction occurs whenever the scale factor is between 0 and 1.
Out of the options, the only one that has a scale factor less than one is:
(x, y) →[TeX](\frac{1}{2}x,\frac{1}{2}y)[/TeX]
Since the scale factor is 1/2 which is less than 1.
All other options are not reductions.