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.