Q9WE. - 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 four lines shown in the diagram that don’t intersect plane $\mathbf{EFGH}$.

Step-by-Step Solution

Answer

The four lines are shown in the diagram that doesn’t intersect planes $EFGH$ are $\mathbf{AB}$, $\mathbf{BC}$, $\mathbf{CD}$ and $\mathbf{DA}$.

Step 1. Observe the given diagram.

The given diagram is:

Step 2. Observe the figure shown.

Highlight the lines $AB$, $BC$, $CD$ and $DA$.

Step 3. Name the four lines shown in the diagram that doesn’t intersect the plane EFGH.

From the above figure, it can be noticed that the lines $AB$, $BC$, $CD$ and $DA$ are parallel to the plane $EFGH$.

Therefore, the lines $AB$, $BC$, $CD$ and $DA$ will not intersect the plane $EFGH$.

Therefore, the four lines are shown in the diagram that don’t intersect the plane are $AB$, $BC$, $CD$ and $DA$.