Question

Name the segments that are skew to AB.
I have attached an image with the diagram and answers.

Answer 1

EG, DH, CG, FH

Explanation:

The last choice, segments EG, DH, CG and FH, do not cross AB, nor are they parallel to AB. So, they are all skew.

In the first choice, GH is parallel to AB, so it would not be skew. So, this is not the answer.

In the second choice CD is parallel to AB, so it would not be skew. So, this is not the answer.

In the third choice, AC and AB cross, so it would not be skew. So, this is not the answer.

Skew lines do not cross and are not parallel.

Answer 2

Choice A is eliminated since GH is parallel to AB. The segment GH is NOT skew to AB.

Choice B is also eliminated since CD is parallel to AB

Choice C is eliminated because AC intersects AB at point A. Skew lines never cross and they are not parallel in 3D space.

Choice D is the only thing left. The segments EG, DH, CG and FH are all skew to AB. They aren't parallel to AB and they never cross AB

So choice D is the final answer