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 \( c \) lies on plane \( \mathcal{R} \) and is vertical (assuming the diagram's orientation).
• Line \( a \): Appears to lie on plane \( Q \) and has a different direction (slanted), so not parallel to \( c \).
• Line \( b \): Lies on plane \( Q \) and is horizontal, so not parallel to vertical \( c \).
• Line \( d \): Also lies on plane \( \mathcal{R} \) and has the same vertical direction as \( c \), so they are parallel (since they are coplanar and never intersect).
• Plane \( Q \): A plane and a line can be parallel, but line \( c \) intersects plane \( Q \) (as seen in the diagram), so they are not parallel.

Thus, line \( d \) is parallel to line \( c \).

Answer:

line d.