In inventor under the view tab you should see an option called 'End Section View' now on this drop down you want to choose half-section view. Next you place the plane where you want the cut to happen and then click continue.
Note that this is showing a quarter section view and therefore two planes are used, in the example you linked only one plane is used hence I said to use the half section view.
Edit: I think I mis-understood, if you want to cut a part in half just use the split command and make sure you check split part.
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Here is a link that might help
http://www.trainingtutorial.com/TAT40_Autodesk_Inventor_Section_Views.htm
Note that this is showing a quarter section view and therefore two planes are used, in the example you linked only one plane is used hence I said to use the half section view.
Edit: I think I mis-understood, if you want to cut a part in half just use the split command and make sure you check split part.