Question

If AB = PQ, ∠B = ∠Q = 90° and BC = QR, then by using which criterion, we can say
∆ ABC ≅ ∆ PQR ?

Answer 1

In ΔABC and ΔPQR

AB=PQ

And BC=QR

CB And RQ extended to X and Y

∠ABX=∠PQY

∠ABC=180

o

−∠ABX=180

o

∠PQY

∠PQR=180

o

−∠PQY=∠ABC

We get in both triangles

AB=PQ

BC=QR

And ∠ABC=∠PQR

Then both triangle are congruent

i.e. ΔABC=ΔPQR