A parallelogram is a quadrilateral with two pair of parallel sides, opposite sides are in equal length, opposite angles are of equal measure. Diagonals of parallelogram bisect each other.
Observe the given figure,
We need to prove that WXYZ is a parallelogram.
XW must be congruent to YZ as in parallelogram opposite are equal(congruent).
Similarly, WZ must be congruent to XY as in parallelogram opposite sides are equal(congruent).
By proving the opposite sides of a quadrilateral as congruent or of equal measure. We can say that the given quadrilateral is a parallelogram.
