Question

AQ=CR,BC=PQ and angle ACB= angle PQR.Prove that ∆ABC is congruent to ∆RPQ​

Answer 1

Given,

AQ=CR ,BC = PQ and Angle ACB=angle PQR

to prove:∆ABC=~ ∆RPQ

proof:in ∆ABC and ∆RPQ

Angle ACB=angle PQR(given)

AR-CR=AC

AR-AQ =AC (AQ=CR)

QR = AC

BC =PQ (given)

.: ∆ABC=~ ∆RPQ (SAS)

hence prooved

Answer 2

Angle AR=AC

BC=PQ

HENCE PROVED