I dont know much about geese myself, but my MIL had some that were kept in the garden here, so for about 3 years I lived with them. I know that the male got very territorial and nasty at nesting season, even though the female was too old to lay eggs anymore. They guarded a certain part of the garden where they had laid in the past.
Evil buggers they were - charged at everything, delivery men would throw parcels at me through their windows or not deliver at all if I didnt come outside, the cat was petrified and the geese even almost murdered the other half when they pecked the shiny nuts and bolts off his car cables ( I am not techie). The only one safe was my daughter as she was learning to walk - she scared them by charging them instead!