Q10WE. - 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 two lines that are not shown in the diagram and that don’t intersect plane $\mathbf{EFGH}$.

Step-by-Step Solution

Answer

The two lines that are not shown in the diagram and that don’t intersect the plane $EFGH$ are $\mathbf{AC}$ and $\mathbf{BD}$.

Step 1. Observe the given diagram.

The given diagram is:

Step 2. Observe the figure shown.

Highlight the lines $AC$ and $BD$.

Step 3. Name the two lines that are not shown in the diagram and that don’t intersect the plane EFGH.

From the above figure, it can be noticed that the lines $AC$ and $BD$ are not shown in the diagram and are parallel to the plane $EFGH$.

Therefore, the lines $AC$ and $BD$ will not intersect the plane $EFGH$.

Therefore, the two lines that are not shown in the diagram and that don’t intersect the plane $EFGH$ are $AC$ and $BD$.