Question

Why are lines e and c skew lines?

a. they lie in different planes and will never intersect.
b. they lie in the same plane but will never intersect.
c. they lie in different planes but will intersect if a plane is drawn to contain both lines.
d. they lie in different planes and will be parallel if a plane is drawn to contain both lines.

Answer 1

I think the correct answer from the choices listed above is option A. Lines e and c are skew lines most likely because  they lie in different planes and will never intersect. Hope this answers the question. Have a nice day. Feel free to ask more questions.

Answer 2

Lines e and c will be skew lines, if they lie in different planes and never intersect.

Solution-

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

Parallel lines are lines that are in the same plane and do not intersect.

If they lie in the same plane but never intersect, then they are parallel lines.

So, option B is incorrect.

Option C and D are also incorrect.

Option A is the definition of skew lines. So it's the correct answer.