Question

Rafael wrote the statements shown in the chart. 1.)If a point lies outside a line, then exactly one plane contains both the line and the point. 2.) If two points lie in a plane, then the line joining them lies in that plane.
Which option best classifies Rafael’s statements?
A) 1 and 2 are theorems because they can be proved.
B) 1 and 2 are postulates because they are true facts.
C) 1 is a theorem because it can be proved and 2 is a postulate because it is a true fact.
D) 1 is a postulate because it is a true fact and 2 is a theorem because it can be proved.

Answer 1

please explain the answer

Answer 2

the answer is c

Answer 3

right???

Answer 4

Both statements can be proven so the answer is A. a postulate has to be taken for granted like "there exists some number 1 such that 1x=x". That can't be proven like the other statements can. The above are geometrical properties which can be proven using Euclidean geometry, which has 5 postulates.

Answer 5

Postulates usually are regarded as unproven. Examples
if "a=b and b=c then a=c" or "a line extends infinitely in both directions" you can't really prove that, we just take it as obvious.