Question

Given: E is the midpoint of DF
Prove: 2DE = DF

Answer 1

E is the midpoint so it's HALF of DF

Since it's half that means DE and EF have the same length.

Therefore DE multiplied by 2 is DF.

Considering DF is the full length.

Answer 2

2DE = DF.

Hence Proved.

Explanation:

Given : E is the midpoint of DF.

To Prove : 2DE = DF

Proof :

We have given a line DF .

D____________F.

Mid point = E

Mid point : It is that point that divide the line in to two equal parts .

D______E______F.

So, DE = EF.

We can say DE=
`(1)/(2)DF`.

On multiplying both sides by 2.

2DE = DF.

Hence Proved.

Therefore, 2DE = DF.

Hence Proved.