Identify Criteria for Parallel Lines

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They are always the same distance apart and have the same slope.

Front

What is the criterion for two lines to be parallel in a coordinate plane?

Back

Two lines are parallel if they have the same slope and different y-intercepts.

Front

How can you determine if two lines are parallel using their equations?

Back

If the equations of the lines are in slope-intercept form (y = mx + b), compare the slopes (m). If the slopes are equal, the lines are parallel.

Front

What is the relationship between corresponding angles when two parallel lines are cut by a transversal?

Back

Corresponding angles are equal when two parallel lines are cut by a transversal.

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that lie between two lines and on opposite sides of a transversal. They are equal when the lines are parallel.

Front

What is the significance of the Converse of the Corresponding Angles Postulate?

Back

The Converse of the Corresponding Angles Postulate states that if two lines are cut by a transversal and the corresponding angles are equal, then the lines are parallel.

Front

What are consecutive interior angles?

Back

Consecutive interior angles are pairs of angles that lie on the same side of the transversal and between the two lines. They are supplementary when the lines are parallel.

Front

How can you use slope to determine if two lines are parallel?

Back

If two lines have the same slope (m) in their linear equations, they are parallel.

Front

What is the relationship between the slopes of two parallel lines?

Back

The slopes of two parallel lines are equal.

Front

What is the relationship between the slopes of two perpendicular lines?

Back

The slopes of two perpendicular lines are negative reciprocals of each other.