Answer:
The coordinates of T' will be T'(13,-1)
Step-by-step explanation:
step 1
Find the rule of the translation
take any point of rectangle JKLM (pre-image)
The coordinate of point k(-3,2)
The coordinate of point k'(4,7)
so
The rule of the transformation
k(-3,2) -----> k'(4,7)
is equal to
(x,y) ------> (x+7,y+5)
That means ----> the translation is 7 units at right and 5 units up
step 2
Apply the rule of the translation at the coordinate T of trapezoid STUV
we have
T(6,-6)
(x,y) ------> (x+7,y+5)
T(6,-6) ------> T'(6+7,-6+5)
T(6,-6) ------> T'(13,-1)
therefore
The coordinates of T' will be T'(13,-1)