The scope ground clips are both connected to the mains earth. In your circuit diagram, are you comfortable making a short circuit between the three points "Probe B GND Clip", "Probe A GND Clip" and "Neutral-Earth connection in meter box"? If not, don't connect up the scope like that.
If you leave both scope ground clips unconnected, you can probe mains voltages using probes A & B on the x10 setting within the voltage rating of the scope. You will measure voltages relative to mains ground, which should be nearly the same as the voltages on mains neutral. (When I measure using my DMM I find only a few mV potential difference between mains ground and mains neutral.)
It would be a good idea to remove the ground clips from the probes before attaching them, and then connect the probes to the test points while the circuit is de-energized. After the probes are connected, power up the circuit without touching them. That way you protect yourself from the electric shock danger of probing mains voltages with thin plastic probes.
If you do it this way you don't need the 10:1 transformer, although you should always remember that working with mains voltages is dangerous and make sure your body is never in a current path in the event of a fault. Always keep both hands off while the circuit is powered up.