Mathematics
In the given figure, AB ∥ PQ and AC ∥ PR. Prove that BC ∥ QR.
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Answer
In ΔOPQ,
AB ∥ PQ [Given]
By Basic Proportionality Theorem,
…. (i)
In ΔOPR,
AC ∥ PR [Given]
By Basic Proportionality Theorem,
…. (ii)
From (i) and (ii), we get:
In ΔOQR,
Since
By Converse of Basic Proportionality Theorem,
BC ∥ QR
Hence, proved that BC ∥ QR.
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