Parallel Line Proofs

Front

What is the Transitive Property in geometry?

Back

If two angles are each equal to a third angle, then they are equal to each other.

Front

What does the Converse of Corresponding Angles Postulate state?

Back

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

Front

What is the Vertical Angles Theorem?

Back

Vertical angles are always equal.

Front

What is the Corresponding Angles Postulate?

Back

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

Front

What is a transversal in geometry?

Back

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

Front

What are alternate interior angles?

Back

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

Front

What is the Alternate Interior Angles Theorem?

Back

If two parallel lines are cut by a transversal, then each pair of alternate interior angles is equal.

Front

What are same-side interior angles?

Back

Angles that are on the same side of the transversal and inside the two lines.

Front

What is the Same-Side Interior Angles Postulate?

Back

If two parallel lines are cut by a transversal, then each pair of same-side interior angles is supplementary.

Front

What is the definition of parallel lines?

Back

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