QUESTION IMAGE
Question
in the cube shown below, which lines are intersecting?
st and mp nr and qt nr and rs nr and st
Step1: Recall intersecting lines definition
Intersecting lines share a common point.
Step2: Analyze $\overleftrightarrow{ST}$ and $\overleftrightarrow{MP}$
They are skew - no common point.
Step3: Analyze $\overleftrightarrow{NR}$ and $\overleftrightarrow{QT}$
They are skew - no common point.
Step4: Analyze $\overleftrightarrow{NR}$ and $\overleftrightarrow{RS}$
They meet at point R.
Step5: Analyze $\overleftrightarrow{NR}$ and $\overleftrightarrow{ST}$
They are skew - no common point.
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$\overleftrightarrow{NR}$ and $\overleftrightarrow{RS}$