Question

in the adjacent figure ABCD is a parallalogram P,Q are the midpoint of sides ABand DC respectively .Show that PBCQ is also parallalogram

Answer 1

ABIIDC & AB = DC ( ABCD is a llgram)

P and Q are mid points of AB and DC.

:. AB = DC (Proved above)

1/2AB = 1/2DC

PB = QC & PBIIQC ( ABIIDC)

:. PBQC is a llgram.