Here's a picture of one way to do it.
[![10 lines of 4][1]][1] [1]: https://i.sstatic.net/O1CYz.png
Draw the lines around and through the centre trapezoid first, then horizontal top and bottom lines, and then the sloping left and right lines. Each time you draw a line there are no more than 2 points already fixed that the line has to go through, so they can all be straight lines.
(I don't know how to spoiler an image, sorry)