Standing Rigging refers to the part of the rigging that is fixed in place and does not generally move or get adjusted when a boat is underway. The standing rigging on a sloop usually refers to the the following lines:
Standing rigging is usually made of steel cables because it does not need to bend or be adjusted.
Running Rigging refers to the lines or other parts of a boat that are intended to be used or adjusted when setting sail, or when under sail. Examples of running rigging include: