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

Question

in the triangular pyramid shown below, which lines are skew? select all that apply. rt and su rs and rt rt and st rs and st

Explanation:

Step1: Recall skew - line definition

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

Step2: Analyze each pair

  • For $\overleftrightarrow{RT}$ and $\overleftrightarrow{SU}$: They are non - parallel and do not intersect.
  • For $\overleftrightarrow{RS}$ and $\overleftrightarrow{RT}$: They intersect at point $R$, so they are not skew.
  • For $\overleftrightarrow{RT}$ and $\overleftrightarrow{ST}$: They intersect at point $T$, so they are not skew.
  • For $\overleftrightarrow{RS}$ and $\overleftrightarrow{ST}$: They intersect at point $S$, so they are not skew.

Answer:

$\overleftrightarrow{RT}$ and $\overleftrightarrow{SU}$