Question:
If AB = QR, BC = 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)
$\therefore \Delta C A B \cong \Delta P Q R$