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 lie in the same line, 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 are collinear. The three points lie in the same plane.

1 answer

Based on the given statements:
1. If three points lie on the same line, they are collinear.
2. If three points are collinear, they lie in the same plane.

We can use the Law of Syllogism to draw the conclusion:
3. If three points lie on the same line, they lie in the same plane.

Given:
4. The three points are collinear.
5. The three points lie in the same plane.

Using the Law of Syllogism, we can conclude:
6. The three points lie in the same plane since they are collinear.