ABCD is a parallelogram.P and Q are mid points of sides AB and CD.Show that PQRS is a parallelogram
Asked by | 16th Mar, 2008, 05:22: PM
In parellogram ABCD , P and Q are mid point of AB and CD
Join AQ , PD , and let the point of intersection be S.
Join BQ and PC . let the point of intersection be R.
To prove PQRS a parellogram,
AP is = 1/2 Of AB
QC is = 1/2 of CD ( given P and Q are mid point of AB and CD )
AP is parellel to CQ ( ABCD is a parellogram )
so APCQ is a parellogram
similarly we can prove PBQD is a parellogram.
PR and SQ are part of parellogram
so PQRS is a parellogram
Answered by | 6th May, 2008, 11:49: PM
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