Question

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

definition of collinear points

segment addition

Subtraction Property of Equality

Substitution Property of Equality

Answer 1

@qwertyboy56
What proof?

Answer 2

my bad fergot the picture @neonumbrella5115

Answer 3

Given: AD = CF
BC = DE (Click here to see the image.)

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

Answer 4

@qwertyboy56
No problem.
So, you need a reason for why AB + BC + CD = CD + DE + EF is equal to AB + BC = DE + EF?

Answer 5

whats # 4 reason

Answer 6

4 is the only one missing a reason

Answer 7

@qwertyboy56
Yes. I was just making sure.
So, what happened to CD in the steps? Where did it go?
It cancelled out with the other CD on the other side of the equation. So, what do you do to the CD to make it cancel with the other Cd?

Answer 8

got it wrong

Answer 9

the answer is Subtraction Property of Equality