Question

Which algebraic representation shows a reduction?

Answer 1

Answer:

D. (x, y) →$(\frac{1}{2}x,\frac{1}{2}y)$

Step-by-step 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) →$(\frac{1}{2}x,\frac{1}{2}y)$

Since the scale factor is 1/2 which is less than 1.

All other options are not reductions.