Well, it's good that you got checked, because Chlamydia can be spread between sexual partners. I assume you were checked after the right amount of time had passed for it to show up? Too bad about the BV, if you have the same partner now he should probably be taking the same treatment (for BV) as you at the same time, so as not to pass it back to you once your medicine takes it away.
Is the guy with chlamydia a regular partner of yours? If he is. you should be treated anyway. Also, as AnnieBrooke said, timing of the test matters. You need to wait until 3-5 days after exposure to test for chlamydia.