Question

A table with four legs will sometimes wobble if one leg is shorter than the other three, but a table with three legs will not wobble. Select the postulate that substantiates this fact.

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.

Answer 1

I believe it is postulate 3.

Answer 2

Answer:

Postulate 3: Through any three points that are not one line, exactly one plane exists.

Step-by-step explanation:

Table with three legs will support the table equally since there exists a plane between the three legs of the table and the table will not wobble. It is analogy to the fact that three points not in one same line will exhibit one plane.

Thus the table will not shake and wobble because the plane which exists between the three legs will balance the table properly.

Thus, postulate 3 is the correct option for the proof.