Q: Does the word "hit" mean the same thing in "He hit her hard in the face." and "He hit a home run."?

A: different meanings

Q: Does the word "masquerade" mean the same thing in "I was invited to the masquerade at their home." and "That masquerade of misrepresentation which invariably accompanied the political eloquence of Rome -- Thomas de Quincey."?

A: the same meaning

Q: Does the word "fall" mean the same thing in "Fall into a strange way of thinking." and "Fall asleep."?

A: the same meaning

Q: Does the word "relate" mean the same thing in "I can not relate these events at all." and "I find it difficult to relate to others because i'm extremely introverted."?

A:
the same meaning