Question

consider the two planes. in the diagram, the only figure that could be parallel to line c is
line a.
line b.
line d.
plane q.

Explanation:

To determine which figure is parallel to line \( c \), we analyze the diagram:

• Line \( a \): It lies in plane \( Q \) and intersects the plane containing line \( c \) (plane \( R \)), so it's not parallel to \( c \).
• Line \( b \): It also lies in plane \( Q \) and intersects plane \( R \), so it's not parallel to \( c \).
• Line \( d \): Both line \( c \) and line \( d \) lie in plane \( R \) and have the same direction (they are both vertical in the diagram), so they are parallel.
• Plane \( Q \): A line and a plane can be parallel, but line \( c \) intersects plane \( Q \) (since plane \( R \) and plane \( Q \) intersect, and \( c \) is in \( R \)), so \( c \) is not parallel to plane \( Q \).

Answer:

line d