Answer:

Step-by-step explanation:
Calculate the distance using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = A(- 2, 5) and (x₂, y₂ ) = B(3, 8)
d = 
= 
= 
= 
Since GL and HI are parallel to each other, then in the translation this condition is going to be kept. So that, we can write in these gaps that AB and FE are parallel to each other.
Working is a bit of a mess, but vertically she's correct, but she's incorrect horizontally