Question

ABCD is a parallelogram in which E and F are the mid points of AD and BC resp. Prove that ABllEFllDC. ​

Answer 1

Answer:

ABCD is a parallelogram.

AD II DC (sides of llgm)

AE= ½AD

BF= ½BC

But AD = BC (opp. sides of ||gm)

BF = DE

Again,

AD || BC

=> DE || BF

Now DE || BF and DE = BF

Hence, BFDE is a ||gm.

Therefore, AB ll EF ll DC (proved).