Proving Lines Parallel Check

Front

What is the Converse of Alternate Interior Angles Theorem?

Back

If two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel.

Front

What does it mean for angles to be supplementary?

Back

Two angles are supplementary if the sum of their measures is 180 degrees.

Front

What is the Corresponding Angles Postulate?

Back

If two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent.

Front

What is the Alt. Exterior Angles Converse?

Back

If two lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel.

Front

What is the definition of parallel lines?

Back

Two lines that never intersect and are always the same distance apart.

Front

What is the Converse of Same-Side Interior Angles Theorem?

Back

If two lines are cut by a transversal and the same-side interior angles are supplementary, then the lines are parallel.

Front

How can you prove that lines are parallel using angle relationships?

Back

By showing that corresponding angles are congruent or that alternate interior/exterior angles are congruent.

Front

What is the significance of supplementary angles in proving lines parallel?

Back

If two angles are supplementary and are on the same side of the transversal, it can indicate that the lines are parallel.

Front

What are corresponding angles?

Back

Angles that are in the same position on two different lines cut by a transversal.

Front

What is the definition of alternate interior angles?

Back

Angles that are on opposite sides of the transversal and inside the two lines.