Rafael wrote the statements shown in the chart.

Statement

Description

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?

AStatement 1 is a theorem because it can be proved and Statement 2 is a postulate because it is a true fact.
BStatement 1 and Statement 2 are postulates because they are true facts.
CStatement 1 is a postulate because it is a true fact and Statement 2 is a theorem because it can be proved.

Question

Answered

Verified Answer :

fawnforestprinc fawnforestprinc · Answer 1 · 2018-09-11T12:38:51-04:00

The correct answer is A

Answer Link

virtuematane virtuematane · Answer 2 · 2019-04-05T01:33:48-04:00

The correct option that best classifies Rafael's statement is:

a) Statement 1 is a theorem because it can be proved and Statement 2 is a postulate because it is a true fact.

" We know that a postulate also known as a axiom is a statement that is considered to be true and does not need any kind of proof "

" Whereas a theorem is a statement that need to be derived with the help of corollaries or axioms or some statements "

Hence, we are given two statements as:

statement 1: If a point lies outside a line, then exactly one plane contains both the line and the point.

statement 2: If two points lie in a plane, then the line joining them lies in that plane.

So, statement 1 is a Theorem and statement 2 is a postulate.