7th Class
Mathematics
Congruence of Triangles
Question Bank
Congruence of Triangles
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)