In the given figure, PQ = CB, PA = CR, ∠P = ∠C. Is ΔQPR = ΔBCA? If yes, state the criterion of congruence.

PQ = CB, PA = CR

and ∠P = ∠C

In ΔQPR and ΔBCA,

PQ = CB (Given)

∠QPR = ∠BCA (Given)

PA = CR (Given)

PA + AR = CR + AR (Adding AR to both sides)

or PR = CA

ΔQPR = ΔBCA (By SAS rule)