question_answer

In \[\Delta PQR\] and \[\Delta XYZ,\] \[\angle P={{50}^{o}},\] \[XY=PQ\], and \[XZ=PR\]. By which property are \[\Delta XYZ\] and \[\Delta PQR\] congruent?

A)  S.S.S. property

B)  S.A.S. property  

C)  A.S.A. property

D)  R.H.S. property    

Correct Answer: B

Solution :

  In \[\Delta \,PQR\] and \[\Delta \,XYZ.\] \[\angle P=\angle X={{50}^{o}}\] \[PQ=XY\] and \[PR=XZ.\]                 \[\therefore \] \[\Delta \,\,PQR\cong \Delta \,\,XYZ\] (S.A.S. property)