Easy
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.
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.
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