Q11 - 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 $\overleftrightarrow{EF}$ and don’t contain $\overleftrightarrow{EF}$.

Step-by-Step Solution

Answer

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