Question

question 9 of 10
which of the following is a true statement about skew lines?
a. skew lines intersect at a single point.
b. skew lines are perpendicular.
c. skew lines do not lie in the same plane.
d. skew lines are parallel.

Explanation:

• Option A: Skew lines do not intersect. Intersecting lines lie in the same plane (coplanar), but skew lines are non - coplanar.
• Option B: Perpendicular lines are a type of intersecting lines (they intersect at a right angle). Since skew lines do not intersect, they cannot be perpendicular.
• Option C: By definition, skew lines are non - coplanar lines (they do not lie in the same plane).
• Option D: Parallel lines are coplanar and do not intersect. Skew lines are non - coplanar, so they cannot be parallel.

Answer:

C. Skew lines do not lie in the same plane.