Question

in the rectangular prism shown below, which planes are parallel? i h e d f g b c bef and bcd bef and deh fgh and bcd bcf and fgh

Explanation:

Step1: Recall parallel - plane concept

In a rectangular prism, opposite faces are parallel planes.

Step2: Analyze each option

• For "BEF and BCD": These planes share a common edge (BC), so they are not parallel.
• For "BEF and DEH": Plane BEF and plane DEH are opposite planes in the rectangular prism. They do not intersect and are parallel.
• For "FGH and BCD": These planes are not opposite and will intersect at some point, so they are not parallel.
• For "BCF and FGH": These planes share a common edge (CF), so they are not parallel.

Answer:

BEF and DEH