As we are nearing the end of Matthew 5, Jesus is expounding yet another law from God's Word, that of the law of retaliation (an eye for an eye). He takes this law of retaliation and he expounds on it for us to not be so quick to take vengeance, instead to sacrifice a little bit of our right to vengeance and forgive them, even allow it to go further. That's why we see Him tell us to turn the other cheek, give them your cloak as well, go the extra mile, and to give to the one who asks. All of these teach us that as followers of Christ, we need to let God take care of our offenses.