Question
In the figure below, if the line segment ST is parallel to line segment QR such that PSSQ=PTTR. The provided data is not sufficient to prove that triangles PQR and PST are similar.Â
Answer: Option B
:
B
PSSQ=PTTR ...... (given)
ST∥QR ...... (converse of BPT)
Therefore, ∠PST=∠RQRand∠PTQ=∠PTR
Therefore △PST∼△PQR ...... (AA similarity)
Therefore, the information provided in the question is sufficient to prove that the triangles are similar.
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:
B
PSSQ=PTTR ...... (given)
ST∥QR ...... (converse of BPT)
Therefore, ∠PST=∠RQRand∠PTQ=∠PTR
Therefore △PST∼△PQR ...... (AA similarity)
Therefore, the information provided in the question is sufficient to prove that the triangles are similar.
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