7.
In the adjacent figure, A, B and C are points OP,QR
and OR respectively such that AB || PQ and AC||PR.
Show that BC || QR.
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Answers
Answered by
8
Answer:
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
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Answered by
2
Answer:
I n triangle PQR,....(1)
now in trangle POQ
AB//PQby thales therom
so,OA/AP=OB/BQ.........(2)
now in tranglePOR
OA/AP=OC/CR.......(3)
from eq 1,2and 3
OC/CR=OB/BQ
= by thales theorem
BC//QR
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