Q: Does the word "rest" mean the same thing in "Rest assured." and "The blame seems to rest with your father."?

A: the same meaning

Q: Does the word "bit" mean the same thing in "He had a bit of good luck." and "A horse hates having a bit put in its mouth."?

A: different meanings

Q: Does the word "business" mean the same thing in "We do business all over the world." and "He bought his brother's business."?

A: different meanings

Q: Does the word "catch" mean the same thing in "I have some free time tonight so I think I'll catch a movie." and "The fashion did not catch."?

A:
different meanings