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.