Negative Reciprocals

Front

What is a negative reciprocal?

Back

A negative reciprocal of a number is the negative of the reciprocal of that number. For example, the negative reciprocal of 2 is -1/2.

Front

What is the negative reciprocal of -3?

Back

The negative reciprocal of -3 is 1/3.

Front

What is the negative reciprocal of 1?

Back

The negative reciprocal of 1 is -1.

Front

What is the negative reciprocal of 0?

Back

The negative reciprocal of 0 is undefined.

Front

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

Back

The slope of a line that is perpendicular to a line with a slope of 2 is -1/2.

Front

If a line has a slope of -4, what is the slope of a line that is perpendicular to it?

Back

The slope of a line that is perpendicular to a line with a slope of -4 is 1/4.

Front

What happens to the slope of a line when it is perpendicular to another line?

Back

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

Front

Can two lines with slopes of 1 and -1 be perpendicular?

Back

Yes, the slopes of 1 and -1 are negative reciprocals, so the lines are perpendicular.

Front

What is the relationship between the slopes of parallel lines?

Back

The slopes of parallel lines are equal.

Front

If a line has a slope of 0, what is the slope of a line that is perpendicular to it?

Back

The slope of a line that is perpendicular to a line with a slope of 0 is undefined.