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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.
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What category do points lines and planes belong to?
Coordinated geometry
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.
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.
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.
Which category do pointslinesand planes belong to?
Points, lines, and planes belong to the category of geometric concepts in mathematics. They are fundamental elements used in geometry to define shapes, sizes, and spatial relationships. Points represent specific locations, lines are defined by a collection of points extending infinitely in two directions, and planes are flat, two-dimensional surfaces that extend infinitely in all directions. Together, they form the foundational building blocks of geometric reasoning and spatial understanding.
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 '.
Who studied how points lines angles and planes relate to one another?
Euclid, an ancient Greek mathematician, is renowned for his work in geometry, particularly through his influential book "Elements," where he systematically studied the relationships between points, lines, angles, and planes. His axiomatic approach laid the foundational principles of geometry that are still taught today. Euclid's work established a framework for understanding spatial relationships and has had a lasting impact on mathematics and science.
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.
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.
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.
