The given parallelogram is a rectangle when ΔZYX ≅ ΔWXY.
What is a parallelogram?
That quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
In the given parallelogram WXYZ,
ZX ≅ WY.
For ΔZXY and ΔWXY,
ZX = WY (already given)
ZY = WX (two opposite sides of the parallelogram WXYZ)
XY is the common side
Therefore, ΔZXY ≅ ΔWXY
Now, we can say, ∠ZYX = ∠WXY
For the given parallelogram, ∠ZYX + ∠WXY = 180°
ZYX = ∠WXY = 90°
Hence, the given parallelogram is a rectangle.
Learn more about a parallelogram here:
brainly.com/question/11220936
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