4.2 Prove Lines Parallel

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 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

What does the Consecutive Interior Angles Theorem state?

Back

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

Front

What is the Corresponding Angles Postulate?

Back

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

Front

What does it mean if two lines cannot be proved parallel?

Back

It means that there is insufficient information or the angles do not meet the criteria of any parallel line theorems.

Front

What is the Converse of Corresponding Angles Postulate?

Back

If two lines are cut by a transversal and the corresponding 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 a transversal?

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 are same-side interior angles?

Back

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