SOLUTION: Given: AB is congruent to DE, and BC is congruent to CD. Prove: Ad is congruent to BE. Points A,B,C,D,E are all on one ling segment all the same distance from each other. Thank you

Question 773232: Given: AB is congruent to DE, and BC is congruent to CD. Prove: Ad is congruent to BE. Points A,B,C,D,E are all on one ling segment all the same distance from each other. Thank you for the help!
Answer by ramkikk66(644) (Show Source): You can put this solution on YOUR website!

Given: AB is congruent to DE, and BC is congruent to CD. Prove: Ad is congruent to BE. Points A,B,C,D,E are all on one ling segment all the same distance from each other. Thank you for the help!
Ans:
Given that A,B,C,D,E are all in the same line 
AD = AB + BC + CD -> since all are part of the same line
Similarly,
BE = BC + CD + DE  ---> since they are in the same line
= BC + CD + AB (since AB is congruent to DE) 
= AB + BC + CD (rearranging the terms)
From the above 2 equations, AD = BE
As simple as that :)
Let me know if it is not clear.

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