Given: e is the midpoint of df prove: 2de = df

2DE = DF.

Hence Proved.

Step-by-step 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=  .

On multiplying both sides by 2.

2DE = DF.

Hence Proved.

Therefore, 2DE = DF.

Hence Proved.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.