Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

select the postulate that specifies the minimum number of points in spa…

Question

select the postulate that specifies the minimum number of points in space.
postulate 3: through any three points that are not one line, exactly one plane exists.
postulate 2: through any two different points, exactly one line exists.
postulate 1a: a plane contains at least three points not all on one line.
postulate 4: if two points lie in a plane, the line containing them lies in that plane.
postulate 1b: space contains at least four points not all on one plane.
postulate 5: if two planes intersect, then their intersection is a line.
postulate 1: a line contains at least two points.

Explanation:

Brief Explanations

The question asks for the postulate specifying the minimum number of points in space. Postulate 1b states that space has at least four points not all coplanar, which directly addresses the minimum number of points in space. Other postulates deal with lines, planes, or intersections, not the minimum point count in space.

Answer:

Postulate 1b: Space contains at least four points not all on one plane.