Select the postulate that specifies the minimum number of points in space.
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.
Answers
We can answer this question well by analyzing each postulate.
Postulate 1a : This one proves that if G and H are different points on plane R then a third point exists in R not GH.
Postulate 1b : This one specifies the minimum number in a space.
Postulate 1 : This one specifies a line segment with two points say A and B
Postulate 2 : This one states that a line is determined by two points.
Postulate 3 : This one explains that for instance a table with four legs would wobble if one leg is shorter than the other three whereas a table with three legs does not wobble.
Postulate 4 : it verifies that AB is in plane Q when points A and B are in Q.
Postulate 5 : This one is about two planes.
From the information above the correct answer to our question is :
1b : Space contains at least four points not all on one plane.
Thank you for asking the question.
The correct answer for this question is:
Postulate 1: A line contains at least two points.
Postulate 1 a: plane contains at least 3 points not all on one line.
Postulate 1 b: Space contains at least four points not all on one plane
If there is any confusion please leave a comment below.