Given: WXYZ is a parallelogram.
ZX WY
Prove: WXYZ is a rectangle

Step-by-step explanation:

A quadrilaterals are plane figures bounded by four sides. Examples are; square, rectangle, parallelogram, kite, trapezium etc.

Given: parallelogram WXYZ

           ZX ≅ WY

Prove: WXYZ is a rectangle

WZ ≅ XY (opposite sides property)

YZ ≅ WX (opposite sides property)

<WZY ≅ <ZWX ≅ <WXY ≅ <XYZ = (angle property of a rectangle)

<YZW ≅ <WXY (opposite angles are congruent)

ΔZYW ≅  ΔXTW (Side-Angle-Side property)

ZX ≅ WY

Therefore, the parallelogram is a rectangle.