Final answer:
Fungi share with animals a heterotrophic mode of nutrition, cell walls made of chitin, and storage of carbohydrates as glycogen, indicating a closer evolutionary relationship to animals than to plants.
Step-by-step explanation:
The characteristics that fungi share with animals include a heterotrophic mode of nutrition, where both must obtain food outside themselves rather than produce it through photosynthesis. Unlike plants, neither fungi nor animals possess chloroplasts or photosynthetic pigments like chlorophyll. Furthermore, fungi have chitin in their cell walls, a substance also found in the exoskeletons of arthropods, which is distinct from the cellulose found in plant cell walls. Fungi also store carbohydrates as glycogen, similarly to animals. These shared traits suggest that fungi are more closely related to animals than they are to plants, which provides insight into their common ancestry within the eukaryotic domain.