Just like the quarter notes, there are quarter rests. They both have a similarity even though they look different. The quarter rest has one beat which is similar to the quarter beat. The quarter rest looks like a squiggle mark or an upside down note. In British English this same rest is called the Crotchet rest. They both do the same thing in music.
Since quarter beats are the most common beats in music generally speaking, the same can be said for quarter rests. Quarter rests are often seen in many musical pieces. The British English uses the word Crotchet rest because it is French for crochet which means little hook. It comes from semiminima or half minim. The squiggle is the more common look for the rest.