What is the reasoning for VUTS is a parallelogram?

To prove that quadrilateral VUTS is a parallelogram, we need to show that either one pair of opposite sides is both equal and parallel, or that the diagonals bisect each other. If we can demonstrate that the lengths of sides VU and TS are equal and parallel, and sides UT and VS are also equal and parallel, then by definition, VUTS is a parallelogram. Alternatively, if we find that the diagonals UT and VS bisect each other at a common midpoint, that would also confirm that VUTS is a parallelogram.