Question

What did you include in your response? Check all that apply.

a) A plane contains at least three noncollinear points.
b) Three noncollinear points would have at least two lines containing them.
c) Two points make up one line, so two lines are necessary for three noncollinear points.

Answer 1

A plane contains at least three noncollinear points and two lines are necessary for three noncollinear points.

Step-by-step explanation:

The correct options to check are a) A plane contains at least three noncollinear points and c) Two points make up one line, so two lines are necessary for three noncollinear points.

To understand why these options are correct, it's important to know that collinear points are points that lie on the same line. If three points are collinear, they can be connected by a single line. However, if three points are noncollinear, they cannot be connected by a single line, and at least two lines are needed to contain them.

Therefore, it is correct to say that a plane contains at least three noncollinear points (option a) and that two lines are necessary for three noncollinear points (option c).