Question

Kelly drew four points A, B, C, and D in her notebook.
Kelly made the following statements about the points.

Statement 1: There is at least one more point on the plane containing points B and C.
Statement 2: One plane contains and Point D.
Which chart best justifies Kelly's statements?

StatementJustification
1Postulate: A plane contains at least three noncollinear points.
2Theorem: If a point lies outside a line, then exactly one plane contains both the line and the point.

Answer 1

B: Statement Justification
1 Postulate: If a point lies outside a line, then the planes which contain both the line and the point coincide.
2 Theorem: If two points lie in a plane, then the line joining them lies in that plane.

C: Statement Justification
1 Postulate: A plane contains at least two collinear points and one non collinear point.
2 Theorem: If a point lies outside a line, then the planes which contain both the line and the point coincide.

D: Statement Justification
1 Postulate: If a point lies outside a line, then exactly one plane contains both the line and the point.
2 Theorem: If two points lie in a plane, then the line joining them lies in that plane.
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