The new rugs do slide a bit on the flooring.  The living room floor has a table on it but does lift on the edges. The runner in the hallway does slide a lot. Putting  the Non-Slip pads underneath  has resolved our safety concerns when the grandkids run in through the front door or our senior friends  making their grand entrance.   The edges stay down around the main rug so tripping has been resolved.  These pads work just as good and the thicker expensive pads