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

How can you determine if two lines are parallel using angle relationships?

Back

By checking if alternate interior angles are congruent, same-side interior angles are supplementary, or corresponding angles are congruent.

Front

What is the significance of the value of x in proving lines parallel?

Back

The value of x can determine the measures of angles formed by a transversal, which can be used to apply theorems to prove lines parallel.

Front

If two lines are cut by a transversal and the alternate interior angles are not congruent, what can be concluded?

Back

The lines are not parallel.

Front

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

Back

It means that the angle relationships do not satisfy any of the theorems or postulates that would indicate the lines are parallel.

Front

What is the relationship between same-side interior angles and parallel lines?

Back

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