PQRS is a parallelogram. PX and QY respectively are the perpendiculars from P to Q to SR and RS produced. Prove that PX = QY.
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Answer: ps = qr
∠PSR +∠QSR = 180
∠PSR = 180=∠QSR
∠2+∠QRS=180∘
∠2=180∘−∠QRS−(2)
∠2=∠PSR=∠1
In∠PYS and ∠QRY
PS=QR
∠1=∠2
∠PXS=∠PYR
∠PXS≅∠BRY(AAS)
PX=QY.
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