Respuesta :
The answer is a space contains at least four points that do not lie in a same plane or not all in the same plane. An axiom is a statement or proposition that is observed as being established, accepted, or self-evidently true. In other words, it is any statement or mathematical statement that functions as a starting point from which other statements are logically derived. So this can be found on postulate 1 that states “a line containing at least two points; a plane contains at least three points not all in one line; and a space contains at least four points not all in the one plane.”
There are at least four locations in space that do not lie in the same plane, according to an axiom in Euclidean geometry.
What is an Axiom ?
A statement that has been established but have been evidently proved to be true are called Axiom .
It is stated in the question that
An axiom in Euclidean geometry states that in space, there are at least two three four five points that do lie in the same plane
So,
There is precisely one plane via any three noncollinear locations.
plane must have at least three noncollinear points and space contains atleast four noncollinear points to be considered as space.
At least four noncoplanar points can be found in space.
Points that aren't all on the same line are called noncollinear.
Noncoplanar means that they are not on the same surface or in the same linear plane as each other.
Therefore , There are at least four locations in space that do not lie in the same plane, according to an axiom in Euclidean geometry.
To know more about Axiom
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