If $PQ = RS$ in the given figure,prove that $PR = QS$. Mention Euclid's axioms used in it.

(N/A) Given: $PQ = RS$
From the figure,we can write:
$PR = PQ + QR$
$QS = QR + RS$
Since $PQ = RS$,we can add the same quantity $QR$ to both sides of the equation:
$PQ + QR = RS + QR$
Using Euclid's Axiom $(2)$,which states that 'If equals are added to equals,the wholes are equal',we get:
$PR = QS$
Thus,it is proved.