Abigail wrote the statements shown in the chart below: Statement Description
1 If two lines intersect, then exactly one plane contains both lines.
2 If a point lies outside a line, then exactly one plane contains both the line and the point.

Which option best classifies Abigail's statements?

Question

Abigail wrote the statements shown in the chart below: Statement Description
1 If two lines intersect, then exactly one plane contains both lines.
2 If a point lies outside a line, then exactly one plane contains both the line and the point.

Which option best classifies Abigail's statements?

lilyoungmon123 · Answer

A. Statement 1 and Statement 2 are postulates because they are true facts.

B.Statement 1 and Statement 2 are theorems because they can be proved with the help of appropriate postulates.

C.Statement 1 is a theorem because it can be proved, and Statement 2 is a postulate because it is a true fact.

D.Statement 1 is a postulate because it is a true fact, and Statement 2 is a theorem because it can be proved.