We were tasked to post the six categories of type and the three families of type. I searched the internet and remembered a site which I have used since high school that varies in font styles and gives you examples of them.
These are the six categories of types. I think it perfectly embodies the description of each category and gives an exact idea of what they should be like or how they look.
The three families of type are the Serif, Sans Serif and Script. The fonts above, particularly the bottom three, shows the difference between the family.
Sans Serif means ‘without’ serif in french, the serif is the line at the end of the strokes. It has very little to no transition in the strokes and has no stress in the letters because of no variation in thickness.
Script appears handwritten and sometimes connect depending on which type you pick. It appears to have been handwritten using a calligraphy pen or brush (such as the example above). Its pretty much fancy handwriting or like a signature.
Serif is the opposite of Sans Serif as it does have a serif at the end of the strokes and has some variation in thickness. An example of a Serif is below instead of the Slab Serif above.