SOLUTION: given : AB is equal to EF, B is the midpoint of line AC, and E is the midpoint of line DF . whats the justication for : 1. 2AB=2EF 2. AC=DF 3. line AC= line DF

Algebra ->  Geometry-proofs -> SOLUTION: given : AB is equal to EF, B is the midpoint of line AC, and E is the midpoint of line DF . whats the justication for : 1. 2AB=2EF 2. AC=DF 3. line AC= line DF      Log On


   



Question 705653: given : AB is equal to EF, B is the midpoint of line AC, and E is the midpoint of line DF .
whats the justication for :
1. 2AB=2EF
2. AC=DF
3. line AC= line DF

Answer by geetha_rama(94) About Me  (Show Source):
You can put this solution on YOUR website!
There are two lines AC and DF
B is midpoint in AC => AB = BC -> Eq 1
E is midpoint in DF => DE = EF -> Eq 2
Given that AB = EF -> Eq 3
Multiply Eq 3 by 2
=>2*AB = 2*EF
Hence 2AB = 2EF -> Eq 4
Since B is midpoint in line AC, 2AB = AC
Since E is midpont in line DF, 2EF = DF
Hence AC = DF
i.e., line AC = line DF