Question

9 in the diagram: name all segments skew to ( overline{ut} ).

Explanation:

Step1: Recall skew lines definition

Skew lines are non - parallel, non - intersecting, and non - coplanar. First, identify the direction of \(UT\). In the cube - like figure, \(UT\) is a horizontal (or along a certain face) segment.

Step2: Analyze each segment

• Segment \(ZW\): It is not parallel to \(UT\), does not intersect \(UT\), and is in a different plane.
• Segment \(ZX\): Does not parallel, intersect, or share a plane with \(UT\).
• Segment \(ZY\): Not parallel, non - intersecting, non - coplanar with \(UT\).
• Segment \(WS\): Does not parallel, intersect, or be coplanar with \(UT\).
• Segment \(XY\): Not parallel, non - intersecting, non - coplanar with \(UT\).

Answer:

\(ZW\), \(ZX\), \(ZY\), \(WS\), \(XY\)