I know nothing of security systems but...
If the sensing device (switch or whatever) was set to have Normally open contacts when the door or window was closed and secure - then if anybody cut the wires and the door/window subsequently opened - the system would not know about it.
My guess therefore is - Normally Closed - opening the door/window or cutting the wires will have the same effect.
But I am often wrong on here...
Peccavi
September 2010