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.
[tex]\frac{AB}{EF}=\frac{BC}{FG}=\frac{CD}{GH}=\frac{AD}{EH}=\frac{AC}{EG}=\frac{BD}{EG}[/tex]
So, Segment FG will be proportional to Segment BC.
