Proving Lines Parallel

Front

What is the Converse of Vertical Angles?

Back

If two angles are vertical angles, then they are equal.

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 equal, 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 equal, then the lines are parallel.

Front

What is the 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 it mean for two lines to be parallel?

Back

Two lines are parallel if they are in the same plane and do not intersect.

Front

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

Back

If the corresponding angles or alternate interior angles are equal, the lines are parallel.

Front

What is the relationship between parallel lines and transversals?

Back

A transversal that intersects parallel lines creates equal corresponding angles and equal alternate interior angles.

Front

If angle A and angle B are alternate interior angles, what can be concluded if they are equal?

Back

The lines cut by the transversal are parallel.

Front

What is the significance of supplementary angles in proving lines parallel?

Back

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

Front

What is the value of x if line m is parallel to line n and the angles are 54 and x?

Back

x = 54.