SOLUTION: Given: AB=CD Prove: AC=BD

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Question 996174: Given: AB=CD
Prove: AC=BD

Answer by farohw(175) About Me  (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