Answer:
The correct option is C.
Step-by-step explanation:
Two line are called skew lines if they are neither parallel nor perpendicular.
The given segment is CD.
From the given figure it is clear that
![CD\parallel AB\parallel EF\parallel GH](https://tex.z-dn.net/?f=CD%5Cparallel%20AB%5Cparallel%20EF%5Cparallel%20GH)
![CD\perp AC, CG, BD, DH](https://tex.z-dn.net/?f=CD%5Cperp%20AC%2C%20CG%2C%20BD%2C%20DH)
In option A, the given segments are
AE, EF, BF, EG
EF is parallel to CD, therefore option A is incorrect.
In option B, the given segments are
FH, AE, CG, BF
CG is perpendicular to CD, therefore option B is incorrect.
In option C, the given segments are
FH, EG, AE, BF
All the segments are skew to CD because they are neither parallel not perpendicular, therefore option C is correct.
In option D, the given segments are
BF, GH, EG, AE
GH is parallel to CD, therefore option D is incorrect.