Question

in the triangular prism shown below, which planes are parallel? select all that apply. cdf and cde fgh and cde cef and fgh deg and cef

Explanation:

Step1: Recall parallel - plane concept

In a triangular prism, parallel planes do not intersect.

Step2: Analyze each option

• For CDF and CDE: These planes share the line CD, so they are not parallel.
• For FGH and CDE: These are the two triangular bases of the prism. Triangular bases of a triangular prism are parallel.
• For CEF and FGH: Plane CEF and plane FGH intersect at line EF, so they are not parallel.
• For DEG and CEF: These planes are parallel as they do not intersect.

Answer:

FGH and CDE, DEG and CEF