Explanation
Step 1
a)label the lengths.
Step 2
a)Name all segments parallel to XT:
the segment XT is a vertical line, so all the vertical lines are parellel to XT(green lines)
[tex]\begin{gathered} ZV \\ WS \\ YU \end{gathered}[/tex]
b)Name all segments parallel to ZT(purple)
as we can see in the image, there is not parallel line to ZT
c)Name all segments parallel to VS
as we can see in the graph, the segment VS is parallel to segment ZW(Parallel Lines or parallel Segments are always the same distance apart)
d)Name a plane parallel to plane STU
as we can see in the graph, STU plane ( dark red)is a horizontal plane, so a parallel plane is horizontal too, Hence
[tex]\text{plane WYX}[/tex]
e)Name a plane parallel to plane UVX
as we can see in the graph, the plane UVX is diagonal, so it has not a parallel Plane
f)Name all segments skew to SW
skew lines are in differnet planes and never intersect,then
[tex]\begin{gathered} YX \\ UT \\ ZY \\ VU \end{gathered}[/tex]
G) finally,Name all segments skew to UT
skew lines are in differnet planes and never intersect,then
[tex]\begin{gathered} WS \\ ZY \\ VS \\ ZW \end{gathered}[/tex]
I hope this helps you
