1.

PQ and RS are two equal and parallel line segments. Any point M not lying on PQ or RS is joined to Q and S and lines through P parallel to QM and through R parallel to SM meet at N. rove that line segments MN and PQ are equal and parallel to each other.

Answer» PQ||RS and PQ=RS
PQRS is a parallelogram
PR||QS and PR=QS
In`/_PRN` and `/_QSM`
`/_PRN=/_QSM`
`/_RPN=/_SQM`
`/_PRN=/_QSM`
`/_PRN cong /_QSM(A A A)`
PR=QS
PN=QM
RN=SM
In PQMN
PN||QM and PN=QM
PQMN is a parallelogram
PQ=MN and PQ||MN.


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