Question 6
In the following figure, A, B and C are points on OP, OQ and OR respectively such that AB || PQ and AC || PR. Show that BC || QR.
In ΔOPQ,AB||PQ (Given)
∴OAAP=OBBQ...(i) [By using Basic Proportionality Theorem]
In ΔOPR,AC||PR (Given)
∴OAAP=OCCR...(ii) [By using Basic Proportionality Theorem]
From equation (i) and (ii), we get,
OBBQ=OCCR
So, ΔOQR, BC||QR [By converse of Basic Proportionality Theorem].