Question

in parallelogram ABCD, E is the mid-point of AD and F is the mid-point of BC prove that BFDE is a parallelogram.​

Answer 1

Answer:

Step-by-step explanation:

Given : //gm ABCD in which E and F are mid-points of AD and BC respectively.  

To Prove : BFDE is a ||gm.  

Proof : E is mid-point of AD. (Given)

DE = 1/2 AD

Also F is mid-point of BC (Given)

BF = 1/2 BC

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.