Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
1. Points, Lines, and Planes
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Exercise 45 Page 385

How many points do you need to draw a plane?

Yes, see solution.

Practice makes perfect

Yes, it's possible. Let's think about the definitions of lines and planes. Through any two points, there is exactly one line.

Now, imagine we have three arbitrary points where one is not collinear with the other two.

We can draw lines through each possible pair of two points, but not through all three at the same time. That means that these points are not on the same line. By the definition of a plane, through any three points not on the same line, we can draw a plane.