In two triangles ABC and PQR, BC = QR, AB = PQ and extended m \[\angle ABC=120{}^\circ \] and extended m \[\angle PQS=120{}^\circ .\]Then, by which condition are the two triangles congruent? [SSC (CGL) Pre 2014] |
A) Side - Angle - Side
B) Angle - Side - Side
C) Angle - Side - Angle
D) Side - Side - Side
Correct Answer: A
Solution :
In figure, \[\Delta ABC\] and \[\Delta PQR\] are similar triangle. |
Here, \[\overline{BC}=\overline{QR},\,\]\[\overline{AB}=\overline{PQ}\] |
and \[\angle B=\angle Q=120{}^\circ \] |
Hence, both triangles are congruent by the condition of side-angle-side. |
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