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What is the alternate interior angles theorum?

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Quick Answer

When two lines are intersected by a third line, if one pair of alternate interior angles formed is congruent, then the two lines are parallel to each other. Two pairs of such alternate interior angles are formed.

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Full Answer

One of the most important theorems in geometry has to do with alternate interior angles; this theorem on alternate interior angles is used extensively in geometry. It is used to prove two lines parallel in problems that require proof. When two lines are intersected by a third line, eight angles are formed at the two distinct points of intersection. The alternate interior angles are formed on either side of this third line.

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