Parallel, Perpendicular and Skew Lines

Front

Define parallel lines.

Back

Parallel lines are lines in a plane that never meet. They are always the same distance apart and have the same slope.

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees).

Front

What does it mean for two lines to be skew?

Back

Skew lines are lines that do not intersect and are not parallel. They exist in different planes.

Front

Back

Front

Provide an example of two perpendicular lines in a coordinate plane.

Back

Front

What is the relationship between skew lines and planes?

Back

Skew lines lie in different planes and do not intersect each other.

Front

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

Back

Two lines are parallel if their slopes are equal when expressed in slope-intercept form (y = mx + b).

Front

What is the significance of the right angle in identifying perpendicular lines?

Back

A right angle (90 degrees) indicates that two lines are perpendicular to each other.

Front

Name a real-world example of parallel lines.

Back

Railroad tracks are a common example of parallel lines, as they run alongside each other without meeting.

Front

How can you identify skew lines in a three-dimensional space?

Back

Skew lines can be identified in 3D space if they are not coplanar and do not intersect.