Interior/Exterior Triangle Angles and Slope

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the rise over run (change in y over change in x).

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect, regardless of their y-intercepts.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1. This means that one line's slope is the negative reciprocal of the other.

Front

If the slope of line A is m = 2, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to line A would be m = -1/2.

Front

What is the relationship between the slopes of parallel lines?

Back

The slopes of parallel lines are equal.

Front

What is the relationship between the slopes of perpendicular lines?

Back

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

Front

Given the equations y = 2x + 1 and y = 2x - 4, what is the relationship between these lines?

Back

These lines are parallel because they have the same slope (m = 2).

Front

Given the equations y = -3x + 5 and y = 1/3x - 2, what is the relationship between these lines?

Back

These lines are perpendicular because the product of their slopes (-3 and 1/3) is -1.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

If one angle of a triangle is 50 degrees and another is 60 degrees, what is the third angle?

Back

The third angle is 70 degrees (180 - 50 - 60 = 70).