Are the Venus Flytrap and the Pitcher plant homologous or analogous?

Answer 1

Neither really. Or both. It depends on the level of organization you are talking about.

So... they are both made out of modified leaves, but they function totally differently. You could just as easily add in a maple leaf and say they are all homologous. Yes, they both catch insects, but in such different ways, it doesn't seem right to use that UNLESS you are talking about microscopic features relating to digestion.

Analogous means that they look/function similarly, but the structures that are being compared don't share an evolutionary history. Again, it depends on what level of organization you are talking about. There are different genera of plants that make pitchers, some are monocots and others are dicots. The leaves of monocots are pretty distinct, so do they count as the same structure?

Answer 2

They both have the trait of using their modified leaves to trap insects, and have inherited this trait from a common ancestor.