Question

Rectangle URST undergoes a dilation centered at the origin. The result is rectangle U'R'ST. Which rule describes

Answer 1

Answer:

The rule depends on the scale factor.

Step-by-step explanation:

Hi there,

1) Many, I'd say mostly, dilations is centered at the origin (0,0) of the cartesian plane. Like the picture below.

2) So now, what's left to do is what is the scale factor? What coefficient that multiplies the original rectangle URST, will result the U'R'S'T'?

3) Since no coordinates, no options or any numerical value were given, then I've made one example.

Check below

If you do have the coordinates of each point then divide each coordinate this way

$\frac{U'(x,y)}{U(x,y)}=\frac{R'(x,y)}{R(x,y)}=\frac{S'(x,y)}{S(x,y)}=\frac{T'(x,y)}{T(x,y)}=scale \:factor\\\frac{U'(-4,4)}{U(2,2)}\Rightarrow U'=2U\\(x,y)=D2(x,y)$