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Q.

In the given figure, PL‖QS   and NR‖PQ  . Name the triangle equal in area of ΔRQO  .


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a

ΔNPO  

b

ΔLMP  

c

ΔSMR  

d

ΔMNR   

answer is A.

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Detailed Solution

It is given that in the figure PL‖QS   and NR‖PQ  .
Question ImageIn ΔROQ   and ΔNPO  ,
  ∠NOP=∠ROQ[Vertically opposite angles] NO=OQ [Diagonals bisect each other] OP=OR[Diagonals bisect each other]  
∴ΔROQ≅ΔNPO   … [By SAS test]
∴ar ΔROQ =ar ΔNPO  
Thus, the required triangle is ΔNPO  .
Hence, the correct option is 1.
.
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