Question

Select the postulate that proves this fact.

Answer 1

Answer:

Postulate 1a: A plane contains at least three points not all on one line.

Step-by-step explanation:

Postualte 1a is the one we use to prove the fact showed, because based on this postulate a plane must have at least three points to exist. That means we cannot draw a plane with just two points, because the figure formed would be a line.

Remember, you always need three points to draw a plane, and only two point to draw a line.

Therefore, the right answer is the second choice, Postulate 1a.

Answer 2

Given that if G and H are different points in plane R, then a third point exists in R not on GH.

In other words, it means we have three non-linear points say G, H, I (not on the same line) where these three points make a triangle i.e. ΔGHI and this triangle is on plane R.

Only one postulate can prove this fact that is:-

Postulate 1a: A plane contains at least three points not all on one line.