Triangle DEF is translated to triangle D'E'F'. We are asked to find the coordinates of points E' and F'.

1. Problem Description

Triangle DEF is translated to triangle D'E'F'. We are asked to find the coordinates of points E' and F'.

2. Solution Steps

First, let's find the coordinates of D and D'.

D = (3, 9)

D' = (1, 6)

To find the translation vector, we subtract the coordinates of D from D':

Translation vector = D' - D = (1 - 3, 6 - 9) = (-2, -3).

So, the translation is 2 units to the left and 3 units down.

Now, let's find the coordinates of E and F.

E = (8, 9)

F = (9, 7)

Next, apply the same translation vector (-2, -3) to points E and F to find E' and F'.

E' = E + Translation vector = (8 - 2, 9 - 3) = (6, 6)

F' = F + Translation vector = (9 - 2, 7 - 3) = (7, 4)

3. Final Answer

E' = (6, 6)

F' = (7, 4)