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What category do points lines and planes belong to in an axiomatic system?
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∙ 9y ago
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Cite the aspects of the axiomatic system -- consistency, independence, and completeness -- that shape it.
SHYLEE BOWSER
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What category do points lines and planes belong to?
Coordinated geometry
How many planes can pass through two given points?
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.
What is the intersection of two distinct planes?
The intersection of two distinct planes is a line. The set of common points in the line lies in both planes.
Do two planes intersect in infinitely many points?
No, perpendicular planes intercept at only one point. Parallel planes do not intersect at all.
Does intersection of 2 planes always contain at least 2 points?
YES. The intersection of two planes always makes a line. A line is at least two points.
What category do points lines and planes belong to?
Coordinated geometry
What category do points lines and planes belong too?
They are basic geometric concepts.
Do points lie on lines that are in planes?
Not necessarily. Points may lie in different planes.
What is the greatest number of planes that can pass throughg 3 collinear points?
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 '.
Does a line lie in only one plane?
No. A line can lie in many planes. A plane can be defined by three non-linear points. Since a line is defined by only two points, we need another point. (Note that point C alone, or line AB alone belong to an infinite number of planes.)
What is the greatest number of planes determined by four noncolinear points?
4 planes.
How many planes can contain two given points?
If 2 points determine a line, then a line contains infinitely many planes.
How many planes contain the same three collinear points?
Infinitely many planes may contain the same three collinear points if the planes all intersect at the same line.
How many planes will contain 2 points?
Infinitely many planes contain any two given points- it takes three (non-collinear) points to determine a plane.
The greatest number of planes that can pass through three collinear points?
You can have an infinite number of planes passing through three collinear points.
What is the fastest way to earn contribution 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.
Study of points lines and planes?
Geometry
