Keeping your rug in place is important to prevent falls. Here are a few options for keeping area rugs in place:
Buy a non-slid rug pad at the store. If it is not the right size, cut it to fit, and place it under your rug.
Use a roll of rubber coated shelf liner. Cut it to fit under your rug. Lay it on the floor and place your rug on top of it.
If you have hardwood or laminate flooring, buy a good quality, double-sided tape and stick use it to stick your rug down. Some stores carry a tape specifically for this purpose.