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Geometry proof check

  1. Jan 25, 2017 #1
    1. The problem statement, all variables and given/known data

    Let A and B be elements of the line EF such that A=/B prove that the line AB=EF

    2. Relevant equations

    Axiom that two points determine a unique line and that the intersection of two lines has two distinct points then these lines are the same.
    3. The attempt at a solution

    If A and B are two distinct points they then determine a unique line say X. Let EF=Y then the intersection of X and Y contains at least two distinct points therefore X=Y so AB=EF. Is that sufficient?
    Last edited by a moderator: Jan 25, 2017
  2. jcsd
  3. Jan 25, 2017 #2


    Staff: Mentor

    What do you mean by A=/B?

    Are A and B points in the line segment EF?
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