Read the following two statements. Then use the Law of Syllogism to draw a conclusion.
If three points lie on the same line, they are collinear.
If three points are collinear, they lie in the same plane.
If three points do not lie in the same plane, they do not lie on the same line.
The three points lie in the same plane.
If three points lie in the same line, they lie in the same plane.
The three points are collinear.
The conclusion drawn from using the Law of Syllogism on the two statements is:
If three points do not lie in the same plane, they do not lie on the same line.
To draw a conclusion using the Law of Syllogism, we can combine the two given statements:
Statement 1: If three points lie on the same line, they are collinear.
Statement 2: If three points are collinear, they lie in the same plane.
Using the Law of Syllogism, we can say:
Statement 1 -> Statement 2
If three points lie on the same line, they lie in the same plane.
Now, we have the following information:
Statement 3: If three points do not lie in the same plane, they do not lie on the same line.
Statement 4: The three points lie in the same plane.
Considering these statements, we can conclude:
Statement 3: If three points do not lie in the same plane, they do not lie on the same line.
Statement 4: The three points lie in the same plane.
Therefore, we can deduce that the three points are collinear, as per the Law of Syllogism.