Question
Planes Q and R are parallel planes. Plane Q contains line a. Plane R contains line b.
Planes Q and R are parallel. Plane Q contains line a and plane R contains line b. Both lines are going the same direction.
If a third plane could be drawn which contains both lines a and b, then
lines a and b must be parallel.
lines a and b cannot be parallel.
lines a and b must be skew.
lines a and b must be perpendicular.
Planes Q and R are parallel. Plane Q contains line a and plane R contains line b. Both lines are going the same direction.
If a third plane could be drawn which contains both lines a and b, then
lines a and b must be parallel.
lines a and b cannot be parallel.
lines a and b must be skew.
lines a and b must be perpendicular.
Answers
GPT-4o mini
If planes Q and R are parallel and contain lines a and b respectively, and both lines a and b are directed the same way, then it is possible to draw a third plane that contains both lines.
In this scenario, for the third plane to contain both lines a and b, lines a and b must be parallel. This is because if both lines are going in the same direction and lie within parallel planes, they cannot cross each other and thus must extend indefinitely in the same direction without intersecting.
Therefore, the correct answer is:
**lines a and b must be parallel.**
In this scenario, for the third plane to contain both lines a and b, lines a and b must be parallel. This is because if both lines are going in the same direction and lie within parallel planes, they cannot cross each other and thus must extend indefinitely in the same direction without intersecting.
Therefore, the correct answer is:
**lines a and b must be parallel.**