Is a goose related to a dinosaur?

Yes, In fact, experts believe that Dinosaurs are more closely related to Birds than modern-day reptiles. Before Dinosaurs died out, some evolved into Birds. When the disaster struck that wiped out the Dinosaurs, the Birds survived. You can see how closely related Dinosaurs and Birds are by comparing a Compsognathus (small Dinosaur) skeleton to an Archaeopteryx (early prehistoric bird) skeleton, and you will notice that they are very similar.