Let's analyze the diagram and answer the given questions:

1. Name two points collinear to point K.
   Points that are collinear with point $K$ lie on the same straight line as $K$. From the diagram, points $J$ and $N$ lie on line $b$, which passes through $K$.
   Answer: $J$ and $N$

2. Give another name for line $b$.
   Line $b$ passes through points $J$, $K$, and $N$. A line can be named using any two points on the line, so another name for line $b$ could be $\overleftrightarrow{JK}$ or $\overleftrightarrow{JN}$.
   Answer: $\overleftrightarrow{JK}$ or $\overleftrightarrow{JN}$

3. Name the intersection of line $c$ and plane $R$.
   Line $c$ intersects plane $R$ at point $K$, as both the line and plane share this point.
   Answer: $K$

4. Name a point non-coplanar to plane $R$.
   A point is non-coplanar if it does not lie on the same plane. From the diagram, point $M$ is above plane $R$, so it is non-coplanar.
   Answer: $M$

Let me know if you need further clarifications or details!

Here are 5 related questions:

1. What does it mean for points to be coplanar?
2. How do you determine if lines are parallel in a three-dimensional diagram?
3. Can a line and a plane intersect at more than one point?
4. How many points are needed to define a plane uniquely?
5. Can a line be non-coplanar with a plane? Why or why not?

Tip: When naming lines or planes, remember you can use any two points on the line or three non-collinear points on the plane.