3. Postulates and Diagrams
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Consider the Line-Point Postulate and the Plane-Point Postulate.
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By the Line-Point Postulate, you need at least two points to determine a line. Also, by the Plane-Point Postulate, a plane contains at least three noncollinear points. Therefore, the left-hand side has to be less than the right-hand side. Less than is mathematically written as < . With this, we can fill in the box. &number of points to &determine a line < &number of points to &determine a plane