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Let's work through the problems you provided from the image.

### **Exercises 1–3 (Use the diagram on the top right)**:
1. **Name two points**:  
   Based on the diagram, two points could be \( A \) and \( B \) or \( C \) and \( D \).
   
2. **Name two lines**:  
   Two lines could be \( \overleftrightarrow{AB} \) (line passing through \( A \) and \( B \)) and \( \overleftrightarrow{CD} \) (line passing through \( C \) and \( D \)).
   
3. **Name the plane that contains points \( A \), \( B \), and \( E \)**:  
   The plane is typically denoted using three non-collinear points on it, so the plane would be called **Plane ABE** or **Plane F**.

### **Exercises 4–7 (Use the second diagram with plane \( M \))**:
4. **Give one other name for line \( \overleftrightarrow{MN} \)**:  
   Another name for line \( \overleftrightarrow{MN} \) could be \( \overleftrightarrow{NM} \), as lines are typically named by any two points on them in either order.
   
5. **Name three points that are collinear**:  
   Collinear points lie on the same straight line. In the diagram, points \( M \), \( N \), and \( T \) are collinear.
   
6. **Name three points that are coplanar**:  
   Points \( M \), \( A \), and \( V \) are coplanar as they lie on the same plane.
   
7. **Name a point that is not coplanar with points \( N \), \( P \), and \( T \)**:  
   Point \( W \) is not coplanar with points \( N \), \( P \), and \( T \), as it lies off the plane shown.

### **Exercises 8–10 (Sketch the figure described)**:
8. **Plane A and line C intersecting at all points on line C**:  
   You should draw plane A and line C intersecting across the entire line.

9. **\( GM \) and \( GH \)**:  
   Draw two distinct lines passing through points \( G \), \( M \), and \( H \).

10. **Line \( \overleftrightarrow{CD} \) and plane \( X \) not intersecting**:  
    Show a line that exists outside of the plane, such that it does not intersect it.

Do you need further explanation or details?  

Here are some related questions to extend your understanding:
1. What is the difference between coplanar and collinear points?
2. How do you represent a plane in geometric diagrams?
3. Can three points always form a unique plane?
4. How do you determine if two lines are parallel or intersecting?
5. What conditions must be met for two lines to be considered skew lines?

**Tip**: In geometry, always remember that lines extend infinitely in both directions, and they can be named by any two points on the line.

Geometry worksheet including exercises on points, lines, planes, collinear and coplanar points, and basic sketching of geometric figures.

This worksheet focuses on understanding the basic concepts of points, lines, and planes in geometry. Learn how to identify collinear and coplanar points, name lines and planes, and sketch basic geometric figures. Suitable for students in Grades 8-10.

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