Proving Lines Parallel

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

What is a transversal in geometry?

Back

A transversal is a line that intersects two or more lines at different points.

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that are on opposite sides of the transversal and inside the two lines.

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet and are always the same distance apart.

Front

What is the relationship between corresponding angles when two lines are parallel?

Back

Corresponding angles are congruent when two parallel lines are cut by a transversal.

Front

What is the Vertical Angles Theorem?

Back

Vertical angles are congruent when two lines intersect.

Front

How can you prove that two lines are parallel using the Alternate Exterior Angles Theorem?

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 significance of congruent angles in proving lines are parallel?

Back

Congruent angles indicate that the lines may be parallel, based on specific angle relationships.

Front

What are same-side interior angles?

Back

Same-side interior angles are pairs of angles that are on the same side of the transversal and inside the two lines.

Front

What is the relationship between same-side interior angles when two lines are parallel?

Back

Same-side interior angles are supplementary when two parallel lines are cut by a transversal.