3. A, B and C are points on OP, OQ and OR respectively such that
AB ll PQ and BC ll QR. Show that AC ll PR
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0
Answer:
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Step-by-step explanation:
In △OPQ, we have
AB∥PQ
Therefore, by using basic proportionality theorem , we have
AP
OA
=
BQ
OB
.................(i)
IN △OPR, we have
AC∥PR
Therefore, by using basic proportionality theorem , we have
CR
OC
=
AP
OA
.................(ii)
Comparing (i)&(ii), we get
BQ
OB
=
CR
OC
Therefore, by using converse of basic proportionality theorem, we get
BC∥QR
Answered by
1
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