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Cannot Find Specific Proof

  1. Mar 16, 2005 #1
    Our professor has challened us to find the proof for the following theorem:

    If three parallel lines intercept congruant segments on one transversal, then they intercept congruant segments on any transversal.

    He says it's not anywhere he's read. Help!
     
  2. jcsd
  3. Mar 25, 2005 #2

    aek

    User Avatar

    I'll prove the theorem for you,

    For any three parallel lines cut by a transversal, where AB = BC,
    then another transversal will cut the parallel lines in the same ratio.

    IF AB = BC, then DE = EF

    I hope that's sufficient proof, i would of liked to shown a diagram, however, i'm limited by the medium i'm using.


    AEK
     
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