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Big Ideas Math Integrated I, 2016 View details

3. Postulates and Diagrams

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Exercise 24 Page 464

Consider the Three Point Postulate.

One plane
Justification: See solution.

Practice makes perfect

By the Line-Point Postulate, we know that there are at least two points on line m. Since we have two points on line m and a point not on line m, we have three noncollinear points.

According to the Three Point Postulate, through any three noncollinear points, there exists exactly one plane. Thus, exactly one plane can be drawn such that m and C lie on the same plane.