If AB = QR, BC = RP and CA = PQ, then which of the following holds?
Question:

If AB = QRBC = RP and CA = PQ, then which of the following holds?
(a) ABC ≅ ∆PQR
(b) CBA ≅ ∆PQR
(c) CAB ≅ ∆PQR
(d) BCA ≅ ∆PQR

Solution:

(c) $\Delta C A B \cong \Delta P Q R$

As,

$A B=Q R, \quad$ (given)

$B C=R P, \quad$ (given)

$\mathrm{CA}=\mathrm{PQ} \quad$ (given)

$\therefore \Delta C A B \cong \Delta P Q R$