Planes A and B are both perpendicular to line M. What is the relationship between planes A and B?
To determine the relationship between planes A and B, we need to understand the properties of perpendicular planes.
When two planes are perpendicular to the same line, they are said to be parallel to each other.
Here's how you can visualize and understand this relationship:
1. Imagine a line M, which can be any line in space.
2. Plane A is a plane that is perpendicular (at a right angle) to line M. This means that if you were to extend plane A in both directions, it would never intersect or touch line M.
3. Plane B is also a plane that is perpendicular to line M. Similarly, if you were to extend plane B in both directions, it would never intersect or touch line M.
4. Since both plane A and plane B are perpendicular to the same line M and do not intersect with it, they are not only perpendicular to line M, but they are also parallel to each other. This means that plane A and plane B never intersect or touch each other.
Therefore, the relationship between planes A and B is that they are parallel to each other.