The additional information that would allow us to prove that the image is a parallelogram is that; Line EJ ≅ Line GJ
<h3>How to prove a Parallelogram?</h3>
The six basic properties of parallelograms are primarily;
Both pairs of opposite sides are parallel
Both pairs of opposite sides are congruent
Both pairs of opposite angles are congruent
Diagonals bisect each other
One angle is supplementary to both consecutive angles (same-side interior)
One pair of opposite sides are congruent AND parallel.
Now, looking at the parallelogram properties above and comparing with the given image of the quadrilateral attached, we can say that the additional information that would allow us to prove that the image is a parallelogram is that; Line EJ ≅ Line GJ