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?

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.

Answer 1

The definition of the postulate is: a statement that is assumed true without proof.
The definition of the theorem is a true statement that can be proven.

So, The correct option for Abigail's statements is option B

B. Statement 1 and Statement 2 are theorems because they can be proved with the help of appropriate postulates.