Question

Planes q and r are parallel. explain how you know lines a and b are skew. planes q and r are parallel. line a is on plane q and is diagonal down and to the left. line b is on plane r and is diagonal up and to the left. sample response: skew lines are noncoplanar and do not intersect. line a lies in plane q and line b lies in plane r, so the lines are not coplanar. no other plane can be drawn through the lines, so they are not parallel. so, a and b are skew. what did you include in your response? check all that apply. A. skew lines do not lie in the same plane. B. skew lines do not intersect. C. a and b lie in different planes. D. a and b do not intersect.

Answer 1

(All of the above)

Explanation:

In your response, you included the following statements:

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

B. Skew lines do not intersect.

C. Line A and B lie in different planes.

D. Line A and B do not intersect.

These statements accurately explain why lines A and B are skew. Skew lines are non-coplanar (statement A) and do not intersect (statement B). Lines A and B are on different planes (statement C), and since they do not intersect, they do not lie on parallel planes (statement D).