Answer:
a) WS, ZV, YU
b) VU
c) ZW
d) WXY
e) None
f) TU, TV, UV, XY, XZ, YZ
g) SW, VX, VZ, WX, WZ, YZ
Explanation:
A prism is a polyhedron that has:
- Two bases that are congruent and parallel to each other.
- Lateral sides that are parallelograms and link the two bases.
- Height that is the distance between the two bases.
From inspection of the give diagram, the figure appears to be a quadrilateral prism with bases STUV and WXYZ.
Parallel line segments
- Parallel line segments lie on parallel lines.
- Parallel lines are lines on a plane that never meet and are the same distance apart.
a) Segments parallel to XT:
b) Segments parallel to ZY:
c) Segments parallel to VS:
Planes
- A plane is a flat, two-dimensional surface that extends into infinity.
- A plane can be named by the letters naming three non-collinear points in the plane.
- Parallel planes are planes that never intersect.
d) Planes parallel to plane STU:
e) Planes parallel to plane UVZ:
Skew lines
Skew lines are a pair of non-coplanar lines that:
- Do not intersect.
- Are not parallel to each other.
f) Segments skew to SW:
g) Segments skew to UT: