The statement that is true about the court system is:
State court systems tend to follow same structure as the federal court system.
State courts generally have a structure that includes trial courts, intermediate appellate courts, and a state supreme court, similar to the federal court system, which has district (trial) courts, circuit (appellate) courts, and the Supreme Court.
The other statements are false. For instance, state court systems do have their own Supreme Courts, federal courts include both trial and appellate courts, and state courts can hear both trial cases and appellate cases.