What is the syntax to use to extend a property in a derived class?

Specifically, I want to execute some additional code in response to the setting of the Visible property on a control, and I want it encapsulated in the control class rather than being handled by a delegate on the form.

I know that I can set up a handler for VisibleChanged, but I'm curious as to whether there is a way of overriding and extending the get/set code of the native property.

Thanks.