Typefaces are categorized into families that reflect their stylistic qualities and historical origins. There are many different names for these families and many of those names mean the same thing. For example, one type family goes by Egyptian, Slab Serif, Square Serif, Mécanes, and Antiques. These are all different names for the same thing!
To give you some more information about the different type families and some examples, here is a book I designed during school about type families (click on the first image to scroll through):
What is your favourite typeface family?
(Mine is Display because there are so many amazing and fun designs that can be created with these unique letterforms!)