Answer:
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 = [tex]90^{0}[/tex] (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.
