6.2. Mark 6 different points on the plane and draw 6 lines such that there are two marked points on each line and two marked points on either side of it.
Solution: For example, as shown in the figure.

Note: The required construction can also be described in words. For example, as follows: Consider some triangle $ABC$ and draw a line through each of its vertices intersecting the opposite side. Mark points $D, E, F$ on these lines such that the rays $AD, BE$, and $CF$ do not intersect the triangle. The points $A, B, C, D, E, F$ and the drawn lines are those required.

![](https://cdn.mathpix.com/cropped/2024_05_06_83d741ed4daa4f8b244bg-2.jpg?height=448&width=605&top_left_y=193&top_left_x=197)

Recommendations for checking:

| present in the work | points |
| :--- | :--- |
| Correct construction (drawn or described in words) | 7 points |
| Incorrect constructions (in any number) | 0 points |