Which statement is not one of the axioms of Euclidean geometry? A)In space, there are at least four points that are not in the s
ame plane.
B)If two planes intersect, then their intersection is a line.
C)Every plane contains at least two points that lie on the same line.
D)Given any two points A and B, there is exactly one line AB that passes through them.
B)If two planes intersect, then their intersection is a line.
C)Every plane contains at least two points that lie on the same line.
D)Given any two points A and B, there is exactly one line AB that passes through them.
2 answers:
Answer with Explanation
Axioms are Intuitive, Instinctional .They can't be proved . They are universally true.
Option B is true, that is if two planes intersect, then their intersection is a line.
Option C, is also true, that if a line lies on a plane it will At least pass through two points on the plane.
Option D,if there are two points,only a unique line passes through them.Because to determine a line we need two different unique points.
So, Option 1,appears incorrect,which states that ,In space, there are at least four points that are not in the same plane.
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