Question

In triangle ABC and PQR,angle A= angle
Q and angle B=angle angle R. Which side of triangle PQR should be equal to side AB of triangle ABC so that the two triangles are congruent? Give reason for your answer.

Answer 1

angle A=Q

angle B=R

and then angle C=P

so by AAA, ∆ABC congruent∆PQR

AB=QR by CPCT

Answer 2

Answer:

∆ABC and ∆PQR

<A=<Q (given)

<B=<R (given)

AB=QR=<A (c.p.c.t)

∆ABC=∆PQR (ASA) Angle side Angle