Q: Does "wave" have the same meaning in the following two sentences?

A wave of settlers.

Troops advancing in waves.

A: the same meaning

Q: Does "truth" have the same meaning in the following two sentences?

The lawyer questioned the truth of my account.

Truth to one's own feelings is all-important in life.

A: the same meaning

Q: Does "offset" have the same meaning in the following two sentences?

I'll offset the time difference locally.

Offset deposits and withdrawals.

A:
the same meaning