Question

in the cube shown below, which planes are parallel? select all that apply. klm and ghi gjk and klm ghk and klm gjk and hil

Explanation:

Step1: Recall parallel - plane concept

In a cube, opposite faces are parallel planes.

Step2: Analyze each option

• For "KLM and GHI": KLM and GHI are opposite faces of the cube, so they are parallel.
• For "GJK and KLM": These planes are not opposite and intersect at line segment K. So they are not parallel.
• For "GHK and KLM": These planes are not opposite and intersect at line segment K. So they are not parallel.
• For "GJK and HIL": GJK and HIL are opposite faces of the cube, so they are parallel.

Answer:

KLM and GHI, GJK and HIL