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 9 Page 383

Let K be one of the three points that define the planes you choose.

Example Solution: Planes GIK, JKL, and IJK

Practice makes perfect

There are more than just three possible planes that contain points K.

The following planes are all chosen arbitrarily. A plane is defined by three points that are not collinear. Therefore, we have to make sure that point K is one of the three defining points of all these planes. For our first plane, we can choose GIK, which contains point K.


We will arbitrarily pick the points J, K, and L to define our second plane, JKL.


As our third plane, we will choose IJK. This plane can be harder to visualize than the previous ones, since no lines or rays are contained within the plane.