Chapter 11.5, Problem 43SR

To determine

To Find: The plane that intersects the planes intersecting plane $\overline{AE}$ .

Answer to Problem 43SR

The line that do not intersect is $\overline{AE}$ and $\overline{LP}$ .

Explanation of Solution

Given:

The given diagram is shown in Figure 1

  

Figure 1

Calculation:

Consider that the coplanar lines are the lines that do not intersect. The plane contains $\overline{AE}$ are the pentagonal base ABCDE and the rectangular lateral face AELP.

Consider if one lines extending infinitely in each plane. Thus, this shows that line that do not intersect is $\overline{AE}$ and $\overline{LP}$ .