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Sonbull [250]
1 year ago
7

NO LINKS!! Use the diagram below to answer the following questions.​

Mathematics
1 answer:
diamong [38]1 year ago
3 0

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

Step-by-step 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.

<u>Parallel line segments</u>

  • Parallel line segments lie on parallel lines.  
  • Parallel lines are lines on a plane that <u>never meet</u> and are the <u>same distance apart</u>.

a) Segments parallel to XT:

  • WS, ZV, YU

b) Segments parallel to ZY:

  • VU

c) Segments parallel to VS:

  • ZW

<u>Planes</u>

  • 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:

  • WXY

e) Planes parallel to plane UVZ:

  • None

<u>Skew lines</u>

Skew lines are a pair of non-coplanar lines that:

  • Do <u>not</u> intersect.
  • Are <u>not</u> parallel to each other.

f) Segments skew to SW:

  • TU, TV, UV, XY, XZ, YZ

g) Segments skew to UT:

  • SW, VX, VZ, WX, WZ, YZ
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