Proving 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 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 are Vertical Angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.

Front

What is a Linear Pair?

Back

A linear pair consists of two adjacent angles that are supplementary, meaning they add up to 180 degrees.

Front

What does it mean for angles to be congruent?

Back

Angles are congruent if they have the same measure.

Front

What does it mean for angles to be supplementary?

Back

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

Front

How can you prove lines are parallel using alternate interior angles?

Back

If alternate interior angles are congruent, then the lines are parallel.

Front

How can you prove lines are parallel using same-side interior angles?

Back

If same-side interior angles are supplementary, then the lines are parallel.

Front

What is the relationship between corresponding angles and parallel lines?

Back

If corresponding angles are congruent, then the lines are parallel.