Here, a Pisanosaurus mertii flees from a Eoraptor lunensis. Both of these dinosaurs are among the most basal of the entire dinosaur family tree. Pisanosaurus mertii is an extremely basal ornithischian (bird-hipped dinosaur). In fact, its pubis bone still appears to point forward, not backward like other ornithischians. Eoraptor is probably a very basal theropod ("meat-eating" dinosaur*) a very basal saurischian (lizard-hipped dinosaur), or even a basal sauropodomorph (long-necked "plant-eating" dinosaur)! "Lizard-hipped" refers to the fact that most saurischians have forward-pointing pubes, as do lizards (and mammals and turtles and crocodiles and so on). However, many saurischians, all of them recruits from the ever so weird maniraptors**, actually have backward-pointing pubes. (Actually, some members of one group of non-maniraptor saurischians, the herrerasaurs, have somewhat backward-oriented pubes, but theirs are not as extreme as in the maniraptors.) As you can see, the direction of the pubis isn't always reliable in diagnosing whether a dinosaur is a saurischian or ornithischian. Here's the major difference: saurischians have hollow vertebrae (which hold air sacs), ornithischians don't. Also, ornithischians have a bone on the tips of their lower jaws called the predentary that saurischians don't have.
*As I always emphasize, not all theropods eat meat. **These recruits include birds. (Which is how ornithischians got their name. Just remember that birds are actually saurischians.)
On its plaque of the phylogeny of the Dinosauria, the museum uses these two to represent the basalmost* members of their respective clades.
*Assuming that is actually a word; I saw it in Holtz's syllabus and thought it sounded appropriate.