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Which statement is an axiom of Euclidean geometry? a) If two lines intersect, their intersection is a plane. b) If two planes intersect, their intersection is a point. c) Space contains at least three points that do not lie on the same line. d) If two points lie in a plane, the line containing those points lies in the same plane. e) Given any two points A and B, there are exactly two lines that contain those points.
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it doesn't say
a) and b) are false statements
okay
but which the best answer
e) is false as well
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which one is axioms??
thanks
a plane contains 3 points that do not lie on a line
so a,b,c,e are false
the correct axiom is Space contains at least four points not all in the same plane.
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d
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