The Latin word patria is feminine -- If that is the case,then riddle me this: Why are Kings referred to as patriarchs and Queens referred to as Matriarchs? Why

The Latin word patria is feminine -- If that is the case,then riddle me this: Why are Kings referred to as patriarchs and Queens referred to as Matriarchs? Why is one's father's family called Paternal relatives and one's mother's considered maternal relatives? Why is the Latin word for father pater, patr and for mother mater, matr? Why do the electronic and online translaters say patria means fatherland?