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| Question 996174:  Given: AB=CD
 Prove: AC=BD
 
 Answer by farohw(175)
      (Show Source): 
You can put this solution on YOUR website! Suppose A, B, C, D are points on a line in this order. 
 AB = CD             given
 
 BC = BC             reflexive property of segments
 
 AC = AB + BC, BD = CD + BC segment addition postulate
 
 AB + BC = BC + CD   addition property of equality
 
 Therefore, AC = BD  by substitution
 
 
 
 
 
 
 
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