Question

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.

Explanation:

Euclidean geometry axioms define core properties of points, lines, and planes. Option A is a fundamental line-point axiom. Option B is a plane axiom requiring non-collinear points. Option C is an axiom about lines in planes. Option D contradicts the axiom that intersecting planes meet in a line, not a point.

Answer:

D. If two planes intersect, their intersection is a point.