Geometry i need help, please EXPLAIN how you got iy

start where r is at, then go down 2 units to then to the right 2 times

Step-by-step explanation:

not sure but worth a try

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.

Set them equal
4x+1=65
Subtract 1 from both sides
4x=64
64/4=16
X=16