Question

ABCD is a parallelogram and X,Y are the mid points of sides AB and DC respectively . show that quadrlaterals AXCY is a parallelogram

Answer 1

ABCD is llgrm
X,Y are m.p. of AB ,DC
AB II CD
AX II YC part of llgrm 1
AX = YC X,Y are m.p 2
by 1 and 2
AXCY is a parallelogram