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in the rectangular prism shown below, which lines are intersecting? sel…

Question

in the rectangular prism shown below, which lines are intersecting? select all that apply.

Explanation:

Step1: Recall intersecting lines definition

Intersecting lines meet at a point.

Step2: Analyze each option

  • For $\overrightarrow{DH}$ and $\overrightarrow{GH}$, they meet at point $H$.
  • For $\overrightarrow{EF}$ and $\overrightarrow{EH}$, they meet at point $E$.
  • For $\overrightarrow{BF}$ and $\overrightarrow{FG}$, they meet at point $F$.
  • For $\overrightarrow{BF}$ and $\overrightarrow{EF}$, they meet at point $F$.

Answer:

$\overrightarrow{DH}$ and $\overrightarrow{GH}$, $\overrightarrow{EF}$ and $\overrightarrow{EH}$, $\overrightarrow{BF}$ and $\overrightarrow{FG}$, $\overrightarrow{BF}$ and $\overrightarrow{EF}$