Why is a crochet also called a quarter note?

A crochet is called a quarter note because it represents one quarter of a whole note in musical notation. In a 4/4 time signature, which is commonly used, there are four beats per measure, and each beat corresponds to a quarter note. Thus, when you play a crochet, it takes up one beat of the measure, hence the name. This terminology helps musicians understand the duration of notes within the context of the overall rhythm.