Which is the correct answer?
Given: AD = CF
BC = DE

Prove: AB = EF

Statement Reason
1. AD = CF given
2. AD = AB + BC + CD
CF = CD + DE + EF

segment addition
3. AB + BC + CD = CD + DE + EF Transitive Property of Equality
4. AB + BC = DE + EF
5. BC = DE given
6. AB = EF Subtraction Property of Equality

What is the reason for the fourth statement in this proof?

Question

Which is the correct answer?
Given: AD = CF
           BC = DE

Prove: AB = EF

Statement	Reason
1. AD = CF	given
2. AD = AB + BC + CD
    CF = CD + DE + EF 

segment addition
3. AB + BC + CD = CD + DE + EF	Transitive Property of Equality
4. AB + BC = DE + EF	 
5. BC = DE	given
6. AB = EF	Subtraction Property of Equality


What is the reason for the fourth statement in this proof?

ganeshie8 · Answer

Look closely at 3rd and 4th steps

ganeshie8 · Answer

As you move from 3rd step to 4yh step, you're subtracting CD both sides.

brit · Answer

Is it the fourth step?

ganeshie8 · Answer

Which property of equality tells us that it is fine to subtract the same thing  thing from both sides of an equation ?

ganeshie8 · Answer

Yes, sorry for the typo

brit · Answer

Subtraction property of equality?

ganeshie8 · Answer

Perfect !

brit · Answer

Thank you so much

ganeshie8 · Answer

Yw

brit · Answer

Do you mind helping me on other problem too?

ganeshie8 · Answer

I'll try, but please close this and open a new post