Question

marissa says that lines a and d will eventually intersect. is she correct? explain.
○ yes, because they are on the same plane
○ yes, because they are perpendicular
○ no, because they are parallel
○ no, because they are skew

Explanation:

To determine if lines \( a \) and \( d \) intersect, we analyze their relationship:

• Skew lines are non - parallel, non - intersecting lines that lie on different planes. From the diagram, line \( a \) is in plane \( Q \) and line \( d \) is in plane \( R \) (different planes). Also, they are not parallel.
• The first option is wrong because they are not on the same plane. The second option is wrong as there's no indication they are perpendicular. The third option is wrong because they are not parallel. Since they are skew, they won't intersect.

Answer:

D. no, because they are skew