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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.


A

True

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B

False

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Solution

The correct option is B

False


PSSQ=PTTR ...... (given)

STQR ...... (converse of BPT)

Therefore, PST=RQR and PTQ=PTR

Therefore PSTPQR ...... (AA similarity)

Therefore, the information provided in the question is sufficient to prove that the triangles are similar.


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