In parallel evolution you will see 2 lineages that SHARE a common ancestor will have similar traits since they live in similar environments, have similar environmental pressures, and will adapt accordingly in similar fashions. Note that the two lineages are related in the first place (related meaning closely related and they share a RECENT common ancestor).
Analogous traits occur in two lineages that are NOT related. These two lineages live in similar environments, have similar environmental pressures, and will adapt in similar ways. These shared adaptations between the two lineages are analogous traits. Note that the two lineages are not related (very distantly related would be the more accurate term).
The dat destroyer question you are asking about is question 42 in bio? If so, note that the question says "in separate lineages." Although it does say parallel evolution, the terms "in separate lineages" means that they are NOT closely related and thus the best answer would be analogous structures