https://file.aiquickdraw.com/mathbot/file/17277146429885c7usaqw.jpg

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.

Use the diagram to answer questions about points, lines, and planes.

Solve a geometry problem involving collinear points, intersection of lines and planes, and non-coplanar points. Ideal for high school students in Grades 9-10.

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