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

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.

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.

Answer

Explanation:

Step1: Recall parallel - line definition

Parallel lines are lines in the same plane that never intersect.

Step2: Analyze the diagram

Line (c) is in plane (R). Line (a) and line (c) are in different planes and intersect at the intersection of the two planes. Line (b) is in plane (Q) and intersects plane (R) at some point, so line (b) and line (c) are not parallel. Line (d) is in the same plane (R) as line (c) and has the same direction (as indicated by the arrow - orientation), so line (d) is parallel to line (c). A line and a plane are not parallel in the same sense as two lines. A line can be parallel to a plane if it does not intersect the plane, but we are looking for a parallel line here.

Answer:

C. line d.