Compare the organisms in the table. what plantlike characteristic does a methanogen share with organisms in the kingdom plantae? autotrophic photosynthesizing multicellular prokaryotic blue-green algae fern grass methanogen pawpaw blue-green algae fern grass pawpaw fern mushroom puffball grass pawpaw blue-green algae methanogen plants and methanogens use the sun to produce their own food. plants and methanogens are both eukaryotic, multicellular organisms. plants and methanogens produce food using heat from volcanic vents. plants and methanogens are both capable of producing their own food.