In the sentence "Penny kicked John," kicked is an example of a transitive verb. John is the direct object.
Identity and equality are transitive relations.
The English verb "to notice" is a transitive verb, because we say things like "She noticed a problem".
"Is an ancestor of" is a transitive relation: if Alice is an ancestor of Bob, and Bob is an ancestor of Carol, then Alice is an ancestor of Carol.
Origin of transitive
- Late Latin trānsitīvus passing over (translation of Greek diabibastikos) from trānsitus past participle of trānsīre to go over transient
From American Heritage Dictionary of the English Language, 5th Edition