SOLUTION: Given that AB = DE and BC = CD show that AD = BE.

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Question 355878: Given that AB = DE and BC = CD show that AD = BE.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

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1.AB%2BBC%2BCD%2BDE=AE
2.AD%2BDE=AE
3.AB%2BBE=AE
Given,
AB=DE
BC=CD
Substituting into eq. 1,
AB%2BBC%2BBC%2BAB=AE
2AB%2B2BC=AE
2AC=AE
AC=CE=%281%2F2%29AE
Add CD to both sides.
AC%2BCD=CD%2BCE
Substitute from the given equation,
AC%2BCD=BC%2BCE
So then,
AD=BE