Parallel and Perpendicular Lines

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet or intersect, no matter how far they are extended. 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

How can you identify parallel lines in a figure?

Back

Parallel lines can be identified in a figure by looking for lines that are equidistant from each other and do not intersect.

Front

How can you identify perpendicular lines in a figure?

Back

Perpendicular lines can be identified in a figure by looking for lines that intersect at a right angle (90 degrees).

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 slope-intercept form of a linear equation (y = mx + b).

Front

What is the slope of parallel lines?

Back

The slopes of parallel lines are equal.

Front

What is the slope of perpendicular lines?

Back

The slopes of perpendicular lines are negative reciprocals of each other. If one line has a slope of m, the other will have a slope of -1/m.

Front

If a line has a slope of 2, what is the slope of a line parallel to it?

Back

The slope of a line parallel to a line with a slope of 2 is also 2.

Front

If a line has a slope of 5, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to a line with a slope of 5 is -1/5.

Front

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

Back

The slopes of two lines that are parallel are equal.