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Multiple Choice

Which of the following defines skew lines?

Skew lines are lines that do not lie in the same plane and do not intersect. This means they exist in distinct planes in space and never cross each other. The option describing non-coplanar lines that do not intersect matches this idea exactly: the lines are in different planes and yet never meet. Intersections that form right angles describe lines that cross each other, so they intersect and aren’t skew. Parallel lines do not intersect, but they always lie in the same plane, so they are coplanar and not skew. Coplanar lines that never intersect are also parallel, since in the same plane non-intersecting lines are parallel.

Skew lines are lines that do not lie in the same plane and do not intersect. This means they exist in distinct planes in space and never cross each other.

The option describing non-coplanar lines that do not intersect matches this idea exactly: the lines are in different planes and yet never meet.

Intersections that form right angles describe lines that cross each other, so they intersect and aren’t skew. Parallel lines do not intersect, but they always lie in the same plane, so they are coplanar and not skew. Coplanar lines that never intersect are also parallel, since in the same plane non-intersecting lines are parallel.