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in the triangular prism shown below, which planes intersect? select all…

Question

in the triangular prism shown below, which planes intersect? select all that apply. noq and pqr mnp and pqr noq and mno mop and pqr

Explanation:

Step1: Recall plane - intersection concept

In a 3 - D shape, two planes intersect if they are not parallel.

Step2: Analyze each pair

  • For NOQ and PQR: These planes share the line QR, so they intersect.
  • For MNP and PQR: These planes are parallel (they are the two triangular bases of the prism), so they do not intersect.
  • For NOQ and MNO: These planes share the line NO, so they intersect.
  • For MOP and PQR: These planes are not parallel and will intersect.

Answer:

NOQ and PQR, NOQ and MNO, MOP and PQR