Can a burglar get into the house by breaking through windows and/or doors without tripping the alarm?
Yes they can by breaking a window, a glass door, or a wooden door with glass ornaments. I do have an aged security system, which will not go off if a burglar decides to break a window to get into the house. Nowadays there are window and door sensors that are also sensitive to vibration. That means, if somebody smashes through the window, there is a vibration that will set off the sensor.
There is some good news for people like me with an old security system. If you have a motion detector installed around the ‘broken entry point’, that alarm will go off as soon as the intruder enters the room.