Question

A rectangular rug covers the floor in a living room.

One of the walls in the same living room is painted blue. Are the rug and the blue wall parallel? Explain.
• Can you visualize the rug and the wall as geometric figures? am9
•What must be true for these geometric figures to be parallel?

Answer 1

See below.

Explanation:

Are the rug and the blue wall parallel? Explain.

No. If you think of the plane of the floor and the plane of any wall, the floor and any wall are perpendicular planes.

Can you visualize the rug and the wall as geometric figures?

Yes. The floor and the walls are parts of planes.

What must be true for these geometric figures to be parallel?

Parallel planes do not intersect, so any wall and the floor cannot be parallel. Two parallel planes would be each of the two sets of opposite walls and the floor and the ceiling.