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in the cube shown below, which lines are intersecting? st and mp nr and…

Question

in the cube shown below, which lines are intersecting?
st and mp nr and qt nr and rs nr and st

Explanation:

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.

Answer:

$\overleftrightarrow{NR}$ and $\overleftrightarrow{RS}$