MATH SOLVE

7 months ago

Q:
# State the postulate that verifies AB is in plane Q when points A and B are in Q. Postulate 1: A line contains at least two points. Postulate 1a: A plane contains at least three points not all on one line. Postulate 1b: Space contains at least four points not all on one plane. Postulate 2: Through any two different points, exactly one line exists. Postulate 3: Through any three points that are not one line, exactly one plane exists. Postulate 4: If two points lie in a plane, the line containing them lies in that plane. Postulate 5: If two planes intersect, then their intersection is a line.

Accepted Solution

A:

Answer: Postulate 4: If two points lie in a plane, the line containing them lies in that plane.

That is because two points, call them A and B, always form a line, and so, given that they form the line AB and they are in the plane Q, the line AB is in the plane Q.

That is because two points, call them A and B, always form a line, and so, given that they form the line AB and they are in the plane Q, the line AB is in the plane Q.