What part of speech that shows a relationship between its object and another word in the sentence is a?

The part of speech that shows a relationship between its object and another word in the sentence is a preposition.

Here's why:

* Prepositions connect nouns or pronouns to other words in the sentence, showing their position, direction, time, or other relationships.

* Examples:

* "The cat sat on the mat." ("on" shows the cat's position relative to the mat)

* "I went to the store." ("to" shows the direction of travel)

* "We arrived at noon." ("at" shows the time of arrival)

Let me know if you'd like more examples or have any other questions about parts of speech!