SOLUTION: Given: Ray OB bisects segment EF Prove: 2(EO) = EF

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Question 990491: Given: Ray OB bisects segment EF
Prove: 2(EO) = EF
Answer by farohw(175) About Me  (Show Source):
You can put this solution on YOUR website!

Hello,

Given: Ray OB bisects segment EF

Prove: 2(EO) = EF

Ray OB bisects segment EF (given)

EO = OF (segment bisector contains midpoint (O) of the segment)

EO + OF = EF (segment addition postulate, AB + BC = AC)

EO + EO = EF (Substitution *EO = OF or OF = EO)

2(EO) = EF (Simplify by means of addition)