https://file.aiquickdraw.com/mathbot/file/17265335679151kplcuky.jpg

Let's analyze the diagram and the statements given to determine which apply. 

### Diagram Breakdown:
- The diagram shows a square or rectangle with several labeled points.
  - Points \( Q \), \( O \), \( K \), and \( M \) are located inside or on the edges of the square.
  - Points \( A \) and \( B \) are marked on the horizontal line inside the square.
  - \( X \), \( Y \), and \( Z \) seem to represent points on a straight line or a plane outside the square.
  - Line \( ZY \) is drawn horizontally, with a ray \( SP \) vertically extending from point \( M \).
  - Segment \( AB \) is a horizontal line inside the square.

### Evaluating the Statements:
1. **Line ZY intersects Ray SP**: 
   - Ray \( SP \) extends vertically from \( M \), while \( ZY \) runs horizontally at the bottom. It seems these lines do not intersect.
   - **False**.

2. **Point M is non-coplanar with point K**:
   - The diagram appears to be two-dimensional (2D), meaning all points, including \( M \) and \( K \), lie in the same plane.
   - **False**.

3. **Ray SP intersects Segment AB**:
   - Ray \( SP \) starts from point \( M \), which is vertically aligned with the line segment \( AB \). Hence, the ray intersects the segment.
   - **True**.

4. **Point X, Z, and Y are non-collinear**:
   - \( X \), \( Z \), and \( Y \) all seem to lie on the horizontal line, making them collinear.
   - **False**.

5. **Point X, Z, and Y are collinear**:
   - As per the previous statement, these points lie on the same line.
   - **True**.

6. **Point M is coplanar with Segment AB**:
   - As the diagram is 2D, both point \( M \) and segment \( AB \) lie in the same plane.
   - **True**.

7. **Line SP intersects Segment AB**:
   - This is essentially a repetition of statement 3, confirming that Ray \( SP \) intersects \( AB \).
   - **True**.

8. **Segment AB lies in Plane OKM**:
   - \( O \), \( K \), and \( M \) form a plane, and segment \( AB \) lies within this plane since it's a 2D diagram.
   - **True**.

### Correct Answers:
- Ray SP intersects Segment AB
- Point X, Z, and Y are collinear
- Point M is coplanar with Segment AB
- Line SP intersects Segment AB
- Segment AB lies in Plane OKM

Would you like further explanation on any of these answers? Here are 5 related questions to consider:

1. What does it mean for points to be collinear in a geometric plane?
2. How do rays differ from line segments in geometric figures?
3. Can points ever be non-coplanar in a two-dimensional diagram?
4. What are the characteristics of intersecting lines and segments in geometry?
5. What defines a geometric plane in three-dimensional space?

**Tip:** In geometry, always visualize relationships between lines, segments, rays, and planes to ensure clarity in understanding their intersections and alignments.

Given the image below, choose all that apply based on a geometric diagram with points, lines, rays, and segments.

Analyze the given geometric diagram featuring points, lines, rays, and segments to determine the correct relationships. This problem covers coplanar points, collinear points, intersections, and plane geometry, suitable for students in Grades 9-10.

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