The statement you provided is a restatement of the Converse of the Alternate Interior Angles Theorem. This theorem states that if two coplanar lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel. Here's a brief clarification of the terms:
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Alternate Interior Angles Theorem: If two parallel lines are cut by a transversal, then the alternate interior angles are congruent.
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Converse of the Corresponding Angles Postulate: If two lines are cut by a transversal and the corresponding angles are congruent, then the lines are parallel.
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Corresponding Angles Postulate: If two lines are parallel and are cut by a transversal, then the corresponding angles are congruent.
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Converse of the Alternate Interior Angles Theorem: If two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel.
Thus, to answer your query directly, the correct term for the statement you provided is the Converse of the Alternate Interior Angles Theorem.
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