FOA 4.2E Slopes of Parallel & Perpendicular Lines

Front

What are the characteristics of parallel lines?

Back

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

Front

What are the characteristics of perpendicular lines?

Back

Perpendicular lines intersect at a right angle (90 degrees). Their slopes are opposite reciprocals.

Front

Define opposite reciprocals in the context of slopes.

Back

Two numbers are opposite reciprocals if the product of the two numbers is -1. For example, if one slope is 2, the opposite reciprocal is -1/2.

Front

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

Back

The slope of a line perpendicular to line A would be -1/3.

Front

If two lines have the same slope, what can be said about their relationship?

Back

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

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

Back

Two lines are parallel if their equations have the same slope.

Front

How can you determine if two lines are perpendicular using their slopes?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What does it mean for lines to be neither parallel nor perpendicular?

Back

Lines that are neither parallel nor perpendicular will intersect at an angle that is not 90 degrees.