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The lines are perpendicular is the assumption you would make to start an indirect proof for the statement “Two lines that are cut by a transversal so that alternate interior angles are congruent are parallel.”
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nope
you should start with : Since we want to prove the lines are parallel, lets start by assuming the opposite of it is true, that is `the lines are not parallel`...
this analogy may help : opposite of black is not white - it could be red, green or any other color...
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