Step-by-step explanation:
Let's identify the coordinates of the initial and final triangle.
R = (-4, 5)
S = (-2, 5)
T = (-4, 1)
In the same way,
R' = (3, 2)
S' = (5, 2)
T' = (3, -2)
So, we can say that the translation was 7 units to the right and 3 units down, so the rule will be:
(x, y) ---> (x + 7, y - 3)
If we apply this rule to the points R, S, and T, we get:
R(-4, 5) ---> (-4 + 7, 5 - 3) = R'(3, 2)
R(-4, 5) ---> (-4 + 7, 5 - 3) = R'(3, 2)
R(-4, 5) ---> (-4 + 7, 5 - 3) = R'(3, 2)