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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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