Conflicting Objectives in Buddhism

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This question has been in my mind for a long time, hope you can help me people. Buddhism talks about worshiping your ancestors and paying respect to them. On the other hand, Buddhism also talks about reincarnation after death. So if our ancestors are dead, which means they are reincarnated, why do people still worship them? I mean, they are already, reincarnated, they are a different person now, most likely they do not even know about the trouble that people took to worship them. I am a Buddhist too and I too, also respect my ancestors, but this question has been pondering me.