Question

In triangles ABC and PQR, if ∠A = ∠R, ∠B = ∠P and AB = RP, then which one of the following congruence conditions applies:

Options

•  SAS

• ASA

• SSS

• RHS

Answer 1

In  ΔABC andΔPQR

It is given that

AB = RP

∠B = ∠P

∠A = ∠R

Since given two sides and an angle are equal so it obeys ASA

⇒ ΔABC ≅ ΔPQR

Hence (b) ASA.