If you actually have a security system
Sure, you might have a sign announcing that you’ve got tons of sirens that will go off if someone opens a door or smashes a window to gain entry to your home.
That said, if your security panel is located your front door—especially if you have a glass panel in the door a burglar can peer through—a burglar can quickly tell if you actually have that alarm system or not.
Another surprising way burglars can tell if your home is protected or not? By looking in the reflection of that front hall mirror—if they can’t see a security panel in it, they know those signs are fake.