Java synthetic method and bridge method confusion

As stated in this Java Tutorial a bridge method implies that it is also a synthetic method. The question is, is it possible that invocation of isSynthetic method returns true but isBridge method returns false for a Method object, i.e., if a method is synthetic does it imply that it is also a bridge method?

It's not exactly the same but the source code for isSynthetic and isBridge methods looks like below:

static final int SYNTHETIC = 0x00001000;
public boolean isSynthetic() {
    return (getModifiers() & SYNTHETIC) != 0;
}

static final int BRIDGE = 0x00000040;
public boolean isBridge() {
    return (getModifiers() & BRIDGE) != 0;
}

Why isBridge method body is not like return isSynthetic();?