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in the cube shown below, which lines are intersecting? eh and gh cd and…

Question

in the cube shown below, which lines are intersecting? eh and gh cd and gh cg and eh ef and dh

Explanation:

Step1: Recall intersecting - line definition

Intersecting lines meet at a point.

Step2: Analyze each option

  • For $\overline{EH}$ and $\overline{GH}$, they meet at point $H$.
  • $\overline{CD}$ and $\overline{GH}$ are skew lines (not in the same plane and do not intersect).
  • $\overline{CG}$ and $\overline{EH}$ are skew lines.
  • $\overline{EF}$ and $\overline{DH}$ are skew lines.

Answer:

$\overline{EH}$ and $\overline{GH}$