Answer:
It is given that , Parallelogram ABCD is dilated to form parallelogram EFGH.
When Dilation of a geometrical shape takes place, the two→→image and Pre image will be Similar.
Parallelogram ABCD ~ Parallelogram EFGH
Since Similar shapes have , Proportional side Lengths as well as length of their Diagonal will be proportional.
So, Segment FG will be proportional to Segment BC.