Answer
Q' (1, -5)
R' (0, 1)
We can see that only H (1, -5) matches one of these.
So, H (1, -5) is the ordered pair that represents either Q' or R'.
Step-by-step explanation
To check the type of translation that has occured, we need to first write the coordinates of K and K'.
K (3, 1)
K' (5, -2)
A transformation to the right adds that number of units to the x-coordinate.
A transformation to the left subtracts that number of units from the x-coordinate.
A transformation up adds that number of units to the y-coordinate.
A transformation down subtracts that number of units from the y-coordinate.
So, for K' to come out of K, we need to add 2 units to the x-coordinate and subtract 3 units from the y-coordinate
K' (5, -2) = K (3 + 2, 1 - 3)
So, if either Q or R undergoes this same translation, it will entail a translation of 2 units to the right and 3 units downwards.
Q (-1, -2) = Q' (-1 + 2, -2 - 3) = Q' (1, -5)
R (-2, 4) = R' (-2 + 2, 4 - 3) = R' (0, 1)
Hope this Helps!!!