Unit 3 Test - Parallel & Perpendicular Lines

Front

What is the angle relationship between consecutive interior angles when two parallel lines are cut by a transversal?

Back

Consecutive interior angles are supplementary, meaning they add up to 180 degrees.

Front

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

Back

Two lines are parallel if they have the same slope.

Front

What is the slope of a line that passes through the points (2, -7) and (4, -9)?

Back

The slope is -1.

Front

What is the equation of a line that is parallel to y = -x + 2 and passes through the point (2, -7)?

Back

The equation is y = -x - 5.

Front

What does it mean for two lines to be skew?

Back

Skew lines are lines that do not intersect and are not parallel.

Front

Which segments are skew to a given line?

Back

Segments that are not in the same plane and do not intersect the given line are skew.

Front

How can you identify parallel lines using coordinates?

Back

If two lines have the same x-coordinates for vertical lines or the same slope for non-vertical lines, they are parallel.

Front

What is the relationship between the slopes of perpendicular lines?

Back

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

Front

What is the equation of a line that is perpendicular to y = 2x + 3 and passes through the point (1, 1)?

Back

The equation is y = -0.5x + 1.5.

Front

How do you find the distance between two parallel lines?

Back

The distance can be found using the formula |c2 - c1| / sqrt(a^2 + b^2) for lines in the form ax + by + c = 0.