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

Back

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

Front

If the slope of line B is -3, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to line B is 1/3 (the negative reciprocal of -3).

Front

Given slopes m1 = 5 and m2 = -1/5, are the lines parallel, perpendicular, or neither?

Back

The lines are perpendicular.

Front

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

Back

The lines are parallel.

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.

Front

If the slope of a line is 0, what does this indicate about the line?

Back

A slope of 0 indicates a horizontal line.

Front

If the slope of a line is undefined, what does this indicate about the line?

Back

An undefined slope indicates a vertical line.