SOLUTION: Given: B is between A and D C is between A and D Prove: AB+BD=AC+CD

Question 785003: Given: B is between A and D
C is between A and D
Prove: AB+BD=AC+CD
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
By the segment addition postulate, we know that AB+BD = AD and AC+CD = AD

So AB+BD=AC+CD turns into AD = AD. You can take this in reverse to start with AD = AD (true by the reflexive property) and arrive at AB+BD=AC+CD (using the segment addition postulate twice)
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