Final answer:
The property used to associate a shortcut menu with a control is 'ContextMenu'. It allows users to access a list of commands specific to the element they interact with, often appearing after a right-click on the control.
Step-by-step explanation:
The property used to get or set the shortcut menu associated with the control is ContextMenu. A ContextMenu is a menu that appears upon performing a context-specific action like a right-click on a control or component in a graphical user interface (GUI). This menu provides a list of commands that are relevant to the element clicked on. For instance, in a text editing application, right-clicking on selected text may bring up a ContextMenu with options such as 'Cut', 'Copy', 'Paste', etc.