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?

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

Statement 1 and Statement 2 are postulates because they are true facts.

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

Question

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?

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

Statement 1 and Statement 2 are postulates because they are true facts.

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

mertsj · Answer

i'm not sure.  Do you have a geometry book?  The postulates and theorems are surely listed in it.

anonymous · Answer

no

mertsj · Answer

I looked it up on the internet.  Number 1 is a theorem

mertsj · Answer

And Statement 2 is a Postulate

mertsj · Answer

www.cliffnotes.com/study_guide/Postulates-and-Theorems.topicArticleld-18851-18,articleld-18770.htm