Atype of jurisdiction that state and local trial courts have is

civil jurisdiction.
original jurisdiction.
limited jurisdiction.
criminal jurisdiction.

limited jurisdiction.

Explanation:

Jurisdiction is a term for practical authority of a formally constituted legal body.

Courts of limited or special jurisdiction hear only certain types of cases (for instance, bankruptcy or family matters) and are the lowest courts in the court system. These courts largely rely on an issuing authority, such as constitution or a statute.

The Supreme court, on the other hand, has the original jurisdiction, which means that this is a court where cases are heard for the first time.

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