Q11WE. - Geometry

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 $\overleftrightarrow{\mathbf{EF}}$.

Step-by-Step Solution

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 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 $ABGH$.