Attach 6 trapezoids to one hexagon for each figure

Figure 1: One line of symmetry and no rotational symmetries (other than 360 degrees)

To attach 6 trapezoids to one hexagon for each figure with one line of symmetry and no rotational symmetries (other than 360 degrees), follow these steps:

1. Start with a hexagon shape. You can draw it or print it out as a template.

2. Divide the hexagon into two halves by drawing a vertical line passing through the center of the shape. This line will be the line of symmetry.

3. Take three trapezoids and attach them to one side of the hexagon. Position them in such a way that the shorter parallel side of the trapezoid aligns with one of the sides of the hexagon.

4. Repeat the same step for the other side of the hexagon. Attach the remaining three trapezoids, mirroring the placement of the trapezoids on the first side.

5. Ensure that the line of symmetry splits the hexagon and the attached trapezoids into two equal halves.

6. Verify that the figure has a line of symmetry, meaning that one half of the figure can be folded onto the other half such that both sides match perfectly.

7. Now, check for rotational symmetry. Rotate the figure by any degree less than 360. If the rotated figure matches the original figure, there is rotational symmetry. However, in this case, we do not want any rotational symmetries other than 360 degrees. So, make sure the figure does not exhibit any other rotational symmetries.

Once you have completed these steps, you will have a figure with 6 trapezoids attached to one hexagon, having one line of symmetry and no rotational symmetries (other than 360 degrees).