Next, since we have the preimage, we can move on to creating the image using the given translation (x,y) → (x+ 1,y+ 2). This translation tells us that for every point in △ RST we should add 1 to the x-coordinate and 2 to the y-coordinate. Let's do it!
ccc
(x,y) &→ &(x+ 1,y+ 2)
R(2,2) &→ & R'(3,4)
S(5,2) &→ & S'(6,4)
T(3,5) &→ & T'(4,7)
Now we have the points for the image. Let's add them to the same coordinate plane as the preimage.
We can see that the translation moved the points to the right and up. Finally, we can connect the points to form the new triangle R'S'T'.
