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in the cube shown below, which lines are intersecting? hk and ko ij and…

Question

in the cube shown below, which lines are intersecting? hk and ko ij and no im and lo hi and ko

Explanation:

Step1: Recall definition of intersecting lines

Intersecting lines share a common point.

Step2: Analyze each option

  • For $\overleftrightarrow{HK}$ and $\overleftrightarrow{KO}$, they meet at point $K$.
  • $\overleftrightarrow{IJ}$ and $\overleftrightarrow{NO}$ are skew - no common point.
  • $\overleftrightarrow{IM}$ and $\overleftrightarrow{LO}$ are skew - no common point.
  • $\overleftrightarrow{HI}$ and $\overleftrightarrow{KO}$ are skew - no common point.

Answer:

$\overleftrightarrow{HK}$ and $\overleftrightarrow{KO}$