The correct answer is D) rises, and the temperature drops. After a cold front passes, the barometric pressure typically rises as the high-pressure system behind the cold front moves in. This high-pressure system is associated with cooler, drier air, leading to a drop in temperature. The rising barometric pressure and falling temperature are characteristic of the weather pattern following the passage of a cold front. The other options are incorrect because: B) Dropping barometric pressure is associated with the approach of a warm front, not a cold front. C) Both barometric pressure and temperature drop with the approach of a warm front, not a cold front. A) Rising barometric pressure and rising temperature is more typical of the weather pattern ahead of a warm front, not a cold front.