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.

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

Step-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

examine the two-step equation.

−  

7

4

+  

x

4

= 2

which property of operations allows you to add the same constant term to both sides?

multiplication property of equality

division property of equality

addition property of equality

subtraction property of equality

step-by-step explanation:

answer for #1 is c

answer for #2 is d

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