To determine the number of pairs of parallel lines in the given figure, let's analyze the setup:

The figure shows a grid with horizontal and vertical lines.

1. Horizontal Lines: There are four horizontal lines labeled $CF$, $EH$, $GI$, and $KJ$.

   • These lines are parallel to each other.

2. Vertical Lines: There are three vertical lines labeled $AE$, $BG$, and $DK$.

   • These lines are also parallel to each other.

Now, let's count the pairs:

• Horizontal Pairs:

  • We can form $\binom{4}{2} = 6$ pairs from the four parallel horizontal lines.

• Vertical Pairs:

  • We can form $\binom{3}{2} = 3$ pairs from the three parallel vertical lines.

Adding both types of pairs: $6 + 3 = 9$

So, there are 9 pairs of parallel lines in total.

The correct answer is not listed in the options, as none of the choices match 9 pairs.

Would you like more details on parallel line pair counting or need further assistance?

Here are some related questions for further exploration:

1. How do you calculate the number of pairs in a set of parallel lines?
2. What distinguishes parallel lines in a plane?
3. Can you identify parallel line pairs in a 3D space diagram?
4. How do you determine if lines in various geometric shapes are parallel?
5. What are real-life examples of parallel lines?

Tip: When identifying parallel lines in a grid, focus on each distinct direction (horizontal and vertical) separately before combining.