Question

in the rectangular prism shown below, which planes are parallel? efi and hij deh and fgj fgj and def deh and dgh

Explanation:

Step1: Recall parallel - plane property

In a rectangular prism, opposite faces are parallel planes.

Step2: Analyze each option

• For "EFI and HIJ": These planes share an edge IJ, so they are not parallel.
• For "DEH and FGJ": These are opposite faces of the rectangular prism. The planes are parallel as they do not intersect and are equidistant throughout.
• For "FGJ and DEF": These planes intersect along the line segment FJ, so they are not parallel.
• For "DEH and DGH": These planes intersect along the line segment DH, so they are not parallel.

Answer:

DEH and FGJ