Learning Task 1
If the statement is TRUE, state the postulate that justifies it. If FALSE, state or sketch a counterexample.
1 If three points are non-collinear, they must be coplanar.
2 If three points are coplanar, they must be collinear.
3. Points Xand Y determine a line.
4. Aline and a point not on the line form a plane.
5. Lines rand sintersect. Their intersection is a point.
6. Planes M and Nintersect. Their intersection is a line.
7. If two lines do not intersect, then they are not on the same plane.
8. A plane contains at least one line.
Answers & Comments
Answer:
Learning Task 1
If the statement is TRUE, state the postulate that justifies it. If FALSE, state or sketch a counterexample.
1. If three points are noncollinear, they must be coplanar.
2. If three points are coplanar, they must be collinear.
3. Points X and Y determine a line.
4. A line and point not on the line form a plane.
5. Lines r and s intersect. Their intersection is a point.
6. Planes M and N intersect. Their intersection is a line.
7. If two lines do not intersect, then they are not on the same plane.
8. A plane contains at least one line.
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