Final answer:
To construct a phylogenetic tree for the given plants, code the characters as ancestral or derived, then group the plants based on shared derived traits using maximum parsimony, while noting the outgroup serves as a reference for ancestral states.
Step-by-step explanation:
In order to construct a phylogenetic tree or cladogram for the given plant species, you would need to first code the characters as ancestral or derived. Plant X, being the outgroup, shares the ancestral state for each character with the group. By comparing the reproductive bodies, types of leaves, presence of rhizomes, and plant height, you can determine shared derived characteristics. A cladogram is then built by grouping plants based on shared derived traits, with each branching point, or node, representing a common ancestor with a new derived character.
For example, if rhizomes are a derived trait and only some plants have it, those plants would form a closer group. Height could be another derived character if most plants are short and only one is tall. The presence of seeds versus spores is also a significant derived character to separate angiosperms from non-flowering plants. The tree should be the simplest explanation of evolutionary history with the fewest evolutionary steps, an approach known as maximum parsimony. Note: Without the specific character state data, we cannot draw an accurate tree.