Question

Which of the following is a segment that is skew to VS?

A) AB
B) CD
C) EF
D) GH

Answer 1

The segment that is skew to VS is EFD.

Step-by-step explanation:

A skewed line is a line that does not intersect and is not parallel to another line in a given plane. In this case, we are looking for a segment that is skew to VS, so we want to find a segment that does not intersect and is not parallel to VS.

Looking at the options, the only segment that fits this description is EFD. It does not intersect or is parallel to VS. Therefore, the correct answer is EFD (option C).

Answer 2

The segment that is skew to VS is: B) CD

Step-by-step explanation:

Skew lines are non-intersecting lines that do not lie on the same plane. In this scenario, we're looking for a segment that is not coplanar with the line VS. Considering VS as one line, the segment CD would be skew to it if they do not lie on the same plane and do not intersect. Skewness occurs when two lines are neither parallel nor intersecting while existing in different planes.

To determine this, we need to verify if CD and VS meet these conditions. If CD is not on the same plane as VS and doesn’t intersect with it, then it's considered skew. The other options, AB, EF, and GH, might be on the same plane as VS or could intersect with it, making CD the segment that's skew to VS.

Correct Answer: B) CD