A wear assembly includes an adapter (14) with a nose (18), a wear member (12) with a socket (53) to receive the nose (18), and a lock (16) to secure the wear member (12) to the adapter (14). The nose (18) and socket (53) include complementary rails (35) and grooves (65) that vertically diverge as they extend from the front of the nose (18). The lock (16) can have a tapered construction.