Question

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.

Answer 1

"If two points lie in a plane, the line containing those points lies in the same plane" is the one statement among the following that is an axiom of Euclidean geometry. The correct option among all the options that are given in the question is the fourth option or option "D". I hope the answer has helped you.

Answer 2

The correct answer is:

D) If two points lie in a plane, the line containing those points lies in the same plane.

Step-by-step explanation:

If two planes intersect, they intersect in a line, not a plane.

Space contains at least 4 non-coplanar points, not 3 non-collinear points.

If two lines intersect, their intersection is a point.

Only one line can be drawn through two given points.