Plz solve this Share with your friends Share 1 Atul Shaw answered this Solution:XYZW is a rectangle.So,ZY||WXTherefore, WP||QYin tri. ZWQ and tri. PYXWZ=XY (Opposite sides of rectangle are equal)Also, YZ=WX⇒12YZ=12WX⇒ZQ=XP∠WZY=∠YXP=90°So, By SAS criterion, △WZQ≅△YXP⇒∠YPX=∠WQZAlso, ∠WQZ=∠QWP (Alternate angles as ZY||WX)Therefore,∠WQZ=∠QWP=∠YPXAs, ∠QWP=∠YPX thus QW||PY as ∠QWP and ∠YPX corresponding anglesTherefore, QYPW is a rectangle because QW||YP and QY||WP 0 View Full Answer