Despite the Continental Divide Trail (CDT) having numerous starting (or ending, if you're one of those weird southbound hikers) points, many people (myself included) consider Crazy Cook Monument to be the “official” southern terminus (probably because there's a monument there with the CDT logo and an inscription that says “Southernmost Point”).
The Bootheel (that is, the southwestern corner of New Mexico defined by a straight, north-south border with Mexico on its eastern side) is 50 mi by 30 mi (80 km by 61 km) and occupies an area of 1,500 mi² / 3,900 km². There are very few water sources in the Bootheel and most hikers have water cached at five different locations along the trail. It's truly the desert.
Eight-five miles (137 km) of trail lies between the southern terminus at the US-Mexico border and the town of Lordsburg, New Mexico; it's an excellent introduction (or a lame end) to a Continental Divide Trail thru-hike.
If you're more interested in reading about the New Mexico Bootheel (and want more pictures, then check out the following posts: