Question

alternate interior angle theorem: if two lines are cut by a, then alternate interior angles are.conversely, if two lines are cut by a and alternate interior angles are, then the lines have to be.

Explanation:

The Alternate Interior Angle Theorem is a fundamental concept in geometry. When two parallel lines are intersected by a transversal, the alternate interior angles are congruent. Conversely, if two lines are cut by a transversal and the alternate interior angles are congruent, then the lines must be parallel. This theorem is crucial for proving the parallelism of lines and for solving problems related to angles formed by parallel lines and transversals.

Answer:

parallel, transversal, congruent, transversal, congruent, parallel