Parallel and Perpendicular Lines

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They have the same slope.

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees). The slopes of perpendicular lines are negative reciprocals of each other.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line (y = mx + b).

Front

If two lines have the same slope, what can we say about them?

Back

If two lines have the same slope, they are parallel.

Front

If the slopes of two lines are negative reciprocals, what can we say about them?

Back

If the slopes of two lines are negative reciprocals, they are perpendicular.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

Given the slopes m1 = 3 and m2 = -1/3, are the lines parallel, perpendicular, or neither?

Back

The lines are perpendicular because the slopes are negative reciprocals.

Front

Given the slopes m1 = 5 and m2 = 5, are the lines parallel, perpendicular, or neither?

Back

The lines are parallel because they have the same slope.

Front

What is the relationship between the slopes of two lines that are neither parallel nor perpendicular?

Back

The slopes of two lines that are neither parallel nor perpendicular do not have a specific relationship; they are simply different.