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| Converse of Theorem 2 |
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| If a transversal intersects two lines in such a way that a pair of alternate interior angles are equal, then the two lines are parallel. |
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| Transversal EFGH intersects lines AB and CD such that a pair of alternate E are equal. |
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| AB||CD |
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 ( Given) |
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 (Vertically opposite angles) |
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  (corresponding angles) |
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 AB||CD ( corresponding angles |
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| axiom) |
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Lines Angles and Triangles |
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