The Button control is a ContentControl which reacts to pointer presses.
A button notifies clicks by raising the Click event. A click is distinct from a PointerDown event in that it is raised by default when the button is pressed and then released (although this behavior can be changed by setting the ClickMode property).
Alternatively an instance of ICommand can be assigned or bound to the button's Command property. This command will be executed when the button is clicked. For more information see binding to commands.
Click is just one of several events that Buttons have. Another example is PointerEnter or PointerLeave. You can get the full list of Button Events here.
The Button control's full documentation can be found here
Subclasses
ToggleButton - Toggles between checked and unchecked on click.
It is possible to bind a view model command to a simple method or with a ReactiveCommand. There are lots of advantages to the ReactiveCommand binding for all but the simplest user interfaces such as being able to pass an IObservable<bool> object in to have it dynamically calculate state. Both methods are displayed below. First the "simple" method binding: