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Unit 1 - Pretest

Which statement is NOT one of the axioms of Euclidean geometry?

A. Given any two distinct points, there is exactly one line that contains them.
B. Every plane contains at least three points that do not lie on the same line.
C. If two points lie in a plane, the line containing these points also lies in the plane.
D. If two planes intersect, their intersection is a point.

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Answer :

GinnyAnswer

Final answer:

The statement that is NOT one of the axioms of Euclidean geometry is option D. Euclidean geometry is based on specific axioms, and option D does not adhere to these fundamental principles.


Explanation:

The statement that is NOT one of the axioms of Euclidean geometry is:

  1. A. Given any two distinct points, there is exactly one line that contains them.
  2. B. Every plane contains at least three points that do not lie on the same line.
  3. C. If two points lie in a plane, the line containing these points also lies in the plane.
  4. D. If two planes intersect, their intersection is a point.

Euclidean geometry is based on fundamental axioms, and D does not align with the axioms outlined by Euclid.


Learn more about Euclidean geometry here:

https://brainly.com/question/47352132


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