Answer:
Except for "literature: history" all other options can complete the diagram.
Step-by-step explanation:
Etymology is a study of the origin and evolution of words. For this reason "words: etymology" means that "words" are studied in "etymology", so in order to complete the diagram, we need to find other words that establish this same relation.
"life: biology" establishes this relationship because biology studies life, so this option could complete the diagram. Also could complete the diagram the sentences "insects: entomology" and "humans: anthropology", since the entomology is the science that studies the insects; and anthropology is the science that studies humanity, humans.
However, history is not the science that studies literature. For this reason the sentence "literature: history" could not complete the diagram.