Question

A,B,C are points on OP, OQ,and OR respectively such that AB PARALLEL TO PQ,AC PARALLEL TO PR. Then prove that BC PARALLEL TO QR​

Answer 1

Answer:

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Answer 2

Answer:

$ANSWER</p><p></p><p>In △OPQ, we have</p><p></p><p>AB∥PQ</p><p></p><p>Therefore, \: by \: using \: basic \: proportionality \: theorem , \: we \: have</p><p></p><p>APOA=BQOB.................(i)</p><p></p><p>IN △OPR, we have</p><p></p><p>AC∥PR</p><p></p><p>Therefore, \: by using \: basic \: proportionality \: theorem , \: we have</p><p></p><p>CROC=APOA.................(ii)</p><p></p><p>Comparing (i)&(ii), we get</p><p></p><p>BQOB=CROC</p><p></p><p></p><p></p><p>$

Therefore, by using converse of basic proportionality theorem, we get

$BC∥QR$