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Simple, Athena was the goddess of battle strategy and Wisdom. In other words Athena can kick your butt and to show that she carries a weapon.
Athena used a spear and a shield.
spear
She had a spear and her sheild, Aegis.
Spear and sheild
Athena was the goddess of wisdom she had no weopon but her mind and an owl she uses as asymbol.
Athena carried a spear and a shield to protect herself in a battle.
A weapon is a type of tool; therefore, she used both.
They are primarily seen as a weapon. however they are also a tool.
She had a long lance or spear.
her symbol was a spear
A spear and a shield named Aeigus