Trying to extract line features as separate feature classes based on areas within polygon data

I've been looking around trying to figure out how to extract subsets of some contour data based on where they fall within some polygon contour regions I have built. I have 10 polygon regions identified with a region name attribute. I'd like to input my large contour line data and get 10 separate subsets of contour data out based on the region they fall within.

I've looked at Spatial Filter and a few other extract transformers, but can't figure out the best way to proceed.

Thanks for any help!