For this exercise it is important to know that, in Dilations:
1. When the scale factor is greater than 1, the Image (the figure obtained after the transformation) is an enlargement.
2. When the scale factor is greater than 0 but less than 1, the Image is a reduction:
![0You know that the coordinates of the vertices of the polygon ABCD are:[tex]\begin{gathered} A(2,4) \\ B(-4,-8) \\ C(0,4) \\ D(12,-2) \end{gathered}](https://tex.z-dn.net/?f=0You%20know%20that%20the%20coordinates%20of%20the%20vertices%20of%20the%20polygon%20ABCD%20are%3A%5Btex%5D%5Cbegin%7Bgathered%7D%20A%282%2C4%29%20%5C%5C%20B%28-4%2C-8%29%20%5C%5C%20C%280%2C4%29%20%5C%5C%20D%2812%2C-2%29%20%5Cend%7Bgathered%7D)
And the scale factor is:

Since:

It is a reduction.
You can identify that the rule of this transformation is:
As the value of X increases, the value of y would decrease, due to this relationship being an inverse variation. ... An inverse variation would be similar to a linear relationship because in both, values can increase, as others decrease, and it would pretty much be it, because there aren't much similarities between them.
Thickness of human hair - 9*10^1
Distance from earth to satellite - 2.8*10^13
Width of an apple - 1.1*10^1
Length of a tour bus - 4*10^0