Quantitative Aptitude Ques 168

Question: 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?

Options:

A) Side - Angle - Side

B) Angle - Side - Side

C) Angle - Side - Angle

D) Side - Side - Side

Show Answer

Answer:

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.