The statement "If two parallel lines are cut by a transversal, then the alternate interior angles are congruent" is known as the Alternate Interior Angles Theorem.
Here's a brief explanation of the other terms mentioned:
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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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Same-Side Interior Angles Theorem: If two parallel lines are cut by a transversal, then the same-side interior angles are supplementary (add up to 180 degrees).
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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.
So, to summarize, the original statement describes the Alternate Interior Angles Theorem.