Exercise 29 Page 385

In this exercise we want to use the given diagram to name a point that is not collinear with points $E$ and $H.$ For a point to not be collinear with points $E$ and $H,$ it has to not lie on the line $\overleftrightarrow{EH}.$ Let's consider the given diagram and fade this line and the points that lie on it.

From the diagram, we can see that $J$ is the only other point that lies on $\overleftrightarrow{EH}.$ Therefore, it is collinear with points $E$ and $H$ and cannot be our answer. All points other than $E,$ $H,$ and $J$ are, therefore, not collinear with $E$ and $H.$ This leaves us with seven possible solutions. Let's list all of them. We can choose point $A$ as an example answer for this exercise. However, note that choosing any of these listed points would result in a correct answer.