Q-7. In the given figure, ∆PQC and ∆PRC are such that QC = PR and PQ = CR,Prove that /PCQ=/CPR.

Q-7. In the given figure, ∆PQC and ∆PRC are such that QC = PR and

1.	Q-7. In the given figure, ∆PQC and ∆PRC are such that QC = PR and PQ = CR,Prove that /PCQ=/CPR.
Answer» In triangle PQC and triangle PRC,Given - QC= PRPQ=CRTo prove:- angle PCQ= angle CPRProof:- In triangle PQCand triangle PRC:-QC=PR [GIVEN]PQ=CR [GIVEN]andPC=PC [COMMON]by SAS similarly criterion, triangle PQC is congruent to triangle PRC.therefore by C.P.C.Tangle PCQ =angle CPR PQ=PR (Given)∴∠PQR=PRQ (Angles opposite to equal sides)QC=RC (Given)△PQC≅△CPRBy\xa0SAS\xa0criteria