Rafael wrote the statements shown in the chart below: 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? a Statement 1 is a theorem because it can be proved, and Statement 2 is a postulate because it is a true fact. b Statement 1 and Statement 2 are postulates because they are true facts. c Statement 1 is a postulate because it is a true fact, and Statement 2 is a theorem because it can be proved. d Statement 1 and Statement 2 are theorems because they can be proved.

Answer:The correct option is A.Statement 1 is a theorem because it can be proved, and Statement 2 is a postulate because it is a true factStep-by-step explanation:The first statement is:If a point lies outside a line, then exactly one plane contains both the line and the point.It is a theorem. A theorem is a statement that can be demonstrated to be true by using operations and facts that were already known.Second statement states that:If two points lie in a plane, then the line joining them lies in that plane. It is a postulate. A postulate is a statement which is also known as axiom which is taken to be true without any proof. Theorems and Lemmas are derived from it.Therefore the correct option is A.Statement 1 is a theorem because it can be proved, and Statement 2 is a postulate because it is a true fact....