Question

1. In figure , □ABCD is a parallelo-
gram, P and Q are midpoints of side AB
and DC respectively, then prove □APCQ
is a parallelogram
​

Answer 1

APCQ is a parallelogram

Step-by-step explanation:

ABCD is a parallelogram,P and Q are midpoints of side AB and DC respectively

AB ║ DC

P is a point on AB  &  Q is a point on DC

=> AP ║ QC

AB = DC ( opposite  sides of a parallelogram)

P & Q are Mid points of AB & DC

AP = BP = AB/2

CQ = DQ = CD/2

=> AP = CQ

AP = CQ  & AP ║ CQ

Hence APCQ is a parallelogram