Hi!
Okay, so first, let's find the coordinates of each of the translated points.
A (-2,3)
A' (-2 + 6, 3 - 2) = (4,1)
B (3,1)
B' (3 + 6, 1 - 2) = (9,-1)
C (1,-3)
C' (1 + 6, -3 - 2) = (7,-5)
Now let's go through each statement, and see if it's correct.
A) ∠A and ∠A' have the same measures
This is true! ∠A' did not change.
B) B and B' have the same coordinates
This is false. B = (3,1) B' = (9,-1)
C) The areas of ΔABC and ΔABC' are the same
This is true! The whole triangle moved, it didn't shrink, or grow. They are the same.
D) None of the above
This is false. C) and A) are correct.
The answers are A) and C)
Hope this helps!
-Peredhel