Question

in the square pyramid shown below, which lines are skew? rt and ru ru and uv rs and tu rs and sv

Explanation:

Step1: Recall skew - line definition

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

Step2: Analyze each option

• $\overrightarrow{RT}$ and $\overrightarrow{RU}$ intersect at point $R$, so they are not skew.
• $\overrightarrow{RU}$ and $\overrightarrow{UV}$ are in the same plane (the base - face plane containing $U$), so they are not skew.
• $\overrightarrow{RS}$ and $\overrightarrow{TU}$ are non - parallel and do not intersect. $\overrightarrow{RS}$ is on a lateral face and $\overrightarrow{TU}$ is on the base, so they are skew.
• $\overrightarrow{RS}$ and $\overrightarrow{SV}$ intersect at point $S$, so they are not skew.

Answer:

$\overrightarrow{RS}$ and $\overrightarrow{TU}$