Question

In Exercises 5-11 you will have to visualize certain lines and planes not shown in the diagram of the box. When you name a plane, name it by using four points, no three of which are collinear.

Name three planes that don’t intersect$\overleftrightarrow{\mathbf{EF}}$ and don’t contain $\overleftrightarrow{\mathbf{EF}}$.

Short answer

The three planes that don’t intersect$\overleftrightarrow{EF}$ and don’t contain$\overleftrightarrow{EF}$ are $\mathbf{ABCD}$,$\mathbf{CDHG}$ and $\mathbf{ABGH}$.

Step-by-step solution

Step 1. Observe the given diagram.

The given diagram is:

Step 2. Observe the figure shown.

Highlight the planes $ABCD$, $CDHG$and $ABGH$.

Step 3. Name the three planes that don’t intersect EF↔ and don’t contain EF↔.

From the above figure, it can be noticed that the three planes that don’t intersect$\overleftrightarrow{EF}$ and don’t contain$\overleftrightarrow{EF}$ are $ABCD$,$CDHG$ and $ABGH$.