Question

∆ PQR and ∆ XYZ such that l(PQ) = l(XY), l(QR) = l(YZ), l(RP) = l(ZX), then the triangles are congruent by

• A. ∆ PQR ≅ ∆ XYZ by SSS test
• B. ∆ QPR ≅ ∆ XYZ by SSS test
• C. ∆ PQR ≅ ∆ XYZ by ASA test
• D. ∆ PQR ≅ ∆ XZY by SSS test

Answer 1

The correct option is A ∆ PQR ≅ ∆ XYZ by SSS test

Given that for ∆ PQR and ∆ XYZ
XY = PQ
QR = YZ
XZ = PR ;
Since the all the three sides of one triangle is congruent to the corresponding sides of another triangle,
thus, ∆ PQR ≅ ∆ XYZ by SSS test.