Image result for In an axiomatic system, which category do points, lines, and planes belong to?
Cite the aspects of the axiomatic system -- consistency, independence, and completeness -- that shape it.
Coordinated geometry
The intersection of two distinct planes is a line. The set of common points in the line lies in both planes.
No, perpendicular planes intercept at only one point. Parallel planes do not intersect at all.
There are an infinite number of planes that pass through a pair of points. Select any plane that passes through both the points and then rotate it along the line joining the two points.
YES. The intersection of two planes always makes a line. A line is at least two points.
Coordinated geometry
They are basic geometric concepts.
Not necessarily. Points may lie in different planes.
If the points are collinear, the number of possible planes is infinite. If the points are not collinear, the number of possible planes is ' 1 '.
4 planes.
If 2 points determine a line, then a line contains infinitely many planes.
Infinitely many planes may contain the same three collinear points if the planes all intersect at the same line.
Infinitely many planes contain any two given points- it takes three (non-collinear) points to determine a plane.
You can have an infinite number of planes passing through three collinear points.
Find a category you know a lot about and answer all the questions you can. You can also try browsing the Miscellaneous or Uncategorized categories and putting questions where they belong.
Geometry
you just have to keep playing games. you don't get to pick which category the points go into.