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in the triangular prism shown below, which lines are skew? select all t…

Question

in the triangular prism shown below, which lines are skew? select all that apply.

Explanation:

Brief Explanations

Skew lines are non - parallel and non - intersecting lines in 3 - D space.

  • For \( \overleftrightarrow{TU} \) and \( \overleftrightarrow{TW} \): They are in different planes, not parallel and do not intersect.
  • For \( \overleftrightarrow{UV} \) and \( \overleftrightarrow{VY} \): They are in different planes, not parallel and do not intersect.
  • For \( \overleftrightarrow{WY} \) and \( \overleftrightarrow{TU} \): They are in different planes, not parallel and do not intersect.
  • For \( \overleftrightarrow{WY} \) and \( \overleftrightarrow{WX} \): They are in different planes, not parallel and do not intersect.

Answer:

\( \overleftrightarrow{TU} \) and \( \overleftrightarrow{TW} \), \( \overleftrightarrow{UV} \) and \( \overleftrightarrow{VY} \), \( \overleftrightarrow{WY} \) and \( \overleftrightarrow{TU} \), \( \overleftrightarrow{WY} \) and \( \overleftrightarrow{WX} \)