Edmundo's proof is correct and sufficient to prove that WXYZ is a parallelogram. Option A.
How do we know that the shape is a parallelogram, using the geometric principles?
If statement 1 and 2 is correct, then statement 3 is correct as well as statement.
If both pairs of opposite sides of a quadrilateral are parallel, then the quadrilateral is a parallelogram.
If one pair of opposite sides is parallel and congruent, the quadrilateral is a parallelogram.
If one pair of opposite sides is parallel and the other pair is congruent, more information would be needed to prove that the figure is a parallelogram.
Supplementary same-side interior angles can indeed be used to prove lines are parallel, which is a property that can contribute to proving a quadrilateral is a parallelogram.