Verified Answer :

caylus

Hello,

Here i am using vectors

\(\vec{AB}=\vec{DC}=3\vec{i}+3\vec{j}\)
==> AB//DC and AD//BC (definition of a translation)


The quadrilater ABCD is a parallelogram:
so
1) his diagonals have the same length;

2) his diagonals are cutting in the middle.

(these are proprieties of a parallelogram)