Hi Lang, like Brian mentions you can use Trim to cut your plane up by those profiles but you should make the profiles to be all made up of closed patterns and not with little individual edges sticking out like this:



And not with incomplete edges like this:



Once you have completed all the contours so that there are all closed regions you can then use Edit > Trim to cut it up, and also Trim includes an automatic projection in it as well so if the curves are on a different elevation or something you do not need to do a separate projection step before the Trim, just do the Trim directly.

See the attached 3DM file where I just drew in a few more lines to make all closed regions.

Then to do the Trim you can actually do it all at once, just select your base plane, run Edit > Trim - select all your curves as cutting objects and push Enter or right-click, then at the next prompt where it asks you to select which pieces to discard instead of picking anything to throw away just push Enter or right-click there and it will cut things up and keep all the pieces. After that you will have a bunch of individual pieces like this:




Then if you want to rotate things into place probably the most convenient way is to use Transform > Rotate > Rotate axis - that allows you to pick a line which will serve as the axis line to do the rotation around.

Hope this helps!

- Michael