Parallelogram

*EFGH* is a dilation of parallelogram

*ABCD*.

So, parallelograms

*ABCD* and

*EFGH* are similar.

This means that the ratios of the corresponding sides are all equal.

$\frac{\mathit{AB}}{\mathit{EF}}=\frac{\mathit{BC}}{\mathit{FG}}=\frac{\mathit{CD}}{\mathit{GH}}=\frac{\mathit{DA}}{\mathit{HE}}$