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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

3. Postulates and Diagrams

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Exercise 30 Page 464

Consider the Three Point Postulate.

Yes.
Explanation and picture: See solution.

Practice makes perfect

Let's start by drawing two arbitrary lines that intersect at a point p_1.

According to the Three Point Postulate, any three points contains a unique plane. Therefore, if we identify a second point on l and a second point on k, we will be able to draw a unique plane through these three points.

Therefore, if two lines intersect, they have to be in the same plane.

Subchapter links

Communicate Your Answer p.459

Monitoring Progress p.461-462

Exercises p.463-464