SOLUTION: Determine whether each statement is always, sometimes, or never true. Explain your reasoning. 1. Three collinear points determine a plane. -I Put "Never, 3 noncollinear poin

Algebra ->  Geometry-proofs -> SOLUTION: Determine whether each statement is always, sometimes, or never true. Explain your reasoning. 1. Three collinear points determine a plane. -I Put "Never, 3 noncollinear poin      Log On


   

Question 512185: Determine whether each statement is always, sometimes, or never true. Explain your reasoning.
1. Three collinear points determine a plane.
-I Put "Never, 3 noncollinear points make a plane." Is that right?
2. Two points A and B determine a line.

-I put "sometimes, it depends where the points are located." Is that right?
3. A plane contains at least 3 lines.
-Always. (I'm not sure why though) Is this right?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
1. You're right. Three collinear points determine a line, not a plane.

2. "Sometimes" is right, if the two points are located at the same place you cannot determine a line.

3. "Always" is right, because a plane contains an infinite number of lines.