Compare and contrast a priori and a posteriori knowledge. Give examples of each.

The terms "a priori" and "a posteriori" are used among philosophers to refer to two different types of knowledge. They are adjectives that describe knowledge. It is common to italicize "a priori" and "a posteriori" since they derive from Latin phrases. “A priori” means what comes before and "a posteriori" means what comes after.
Kant provided three areas of knowledge (synthetic statements) that go beyond our sensory perception. 1.)Arithmetic for example: “The shortest distance between two points is a straight line.” “The square of the hypotenuse of a right-angle triangle must always equal the sum of the square of the other two sides.” “The sum of 798 plus 857 must always equal 1655.” 2.)Natural Science: “All events must always have a cause.” 3.)Philosophical metaphysics: “There must exist a Gad that causes the universe.” These statements are also called "a priori" sinse they go beyond sensory experience and we assume the statements must be true “common sense.”

By contract, "a posteriori" are established by sensory observations such as “The room is empty” or “The sky is blue.” These statements are neither necessary nor universal.

I think I will just rely on my female intuition.