Converse of Parallel Lines

Front

What is the Converse of the 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

Define Corresponding Angles. Give an example.

Back

Front

What does it mean if two lines are parallel?

Back

Two lines are parallel if they never intersect and are always the same distance apart.

Front

Explain the Converse of the 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

What are Alternate Exterior Angles?

Back

Alternate exterior angles are pairs of angles that lie outside the two lines and on opposite sides of the transversal.

Front

State the Vertical Angles Theorem.

Back

Vertical angles are congruent; if two lines intersect, the angles opposite each other are equal.

Front

What is the significance of supplementary angles in parallel lines?

Back

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

Front

Define Alternate Interior Angles. Provide an example.

Back

Front

What is the Converse of the Corresponding Angles Postulate?

Back

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

Front

Explain the concept of Consecutive Interior Angles.

Back

Consecutive interior angles are pairs of angles that lie between the two lines and on the same side of the transversal.