Geometry i need help, please EXPLAIN how you got iy

RUST is the name of this quadrilateral because the points on the shape are named “R”, “U”, “S”, and “T”. But that doesn’t totally matter.

R(1, 5) *this is the R point we’re looking at

Translation:
So you just +1 to the x-value, (1 in this case) and your x-value is 2.

Then you -2 from the y-value, (5 in this case) and your y-value is 3.

So your R’ point is now at (2, 3) on the coordinate grid.

Dilation:
They said you dilate the shape by 3, but you just have to figure out R.

So literally all you do is multiply both the x and y values by 3.

Scale Factor 3 * (2, 3)

(2 * 3, 3 * 3)
multiply 2 by the scale factor, 3
then same with the y value 3

Then you’d get (6, 9), that’s the R” point!

if you didn’t know:

* means multiply

‘ after a points’ name is the new point after one transformation. The more ‘ you put after a letter, the more times it’s been transformed.
in this case, R’ was after translations. And R” was after a translation AND dilation.