In the given diagram, we can observe the following parallel segments:

1. Segments that are parallel:

   • $JK \parallel LM$ and $QR \parallel ST$

   These two sets of segments appear to be part of a parallelogram. A parallelogram has opposite sides that are parallel by definition. Therefore, the segments $JK$ and $LM$, as well as $QR$ and $ST$, are parallel.

2. Converse Parallel Property: The Converse of the Corresponding Angles Postulate explains why these segments are parallel. The postulate states that if two lines are cut by a transversal and the corresponding angles are congruent, then the lines are parallel.

3. Supporting Theorem: The Parallelogram Opposite Sides Theorem (also known as Theorem 6-3) supports why these segments are parallel. This theorem states that if a quadrilateral is a parallelogram, then its opposite sides are congruent and parallel.

Would you like more details, or do you have any questions?

Here are 5 related questions for deeper understanding:

1. What is the relationship between the angles at $K$ and $L$ in the diagram?
2. How does the Corresponding Angles Postulate apply to parallel lines and transversals in this case?
3. How can we prove that this figure is a parallelogram?
4. What are the properties of parallelograms that apply to this diagram?
5. Can you find other theorems that explain why $JK \parallel LM$?

Tip: In geometry, recognizing parallel lines often involves checking for congruent angles or applying known properties of quadrilaterals, such as parallelograms.