Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

in the triangular pyramid shown below, which lines are intersecting? ij…

Question

in the triangular pyramid shown below, which lines are intersecting? ij and kl, ik and jl, il and kl, il and jk

Explanation:

Step1: Recall intersecting lines definition

Intersecting lines share a common point.

Step2: Analyze each option

  • $\overrightarrow{IJ}$ and $\overrightarrow{KL}$: Do not intersect.
  • $\overrightarrow{IK}$ and $\overrightarrow{JL}$: Do not intersect.
  • $\overrightarrow{IL}$ and $\overrightarrow{KL}$: Intersect at point $L$.
  • $\overrightarrow{IL}$ and $\overrightarrow{JK}$: Do not intersect.

Answer:

$\overrightarrow{IL}$ and $\overrightarrow{KL}$