Dana checked for them, but they’re not home.
This is the correctly spelled sentence because in every other sentence, the three words “there, they’re, and their” are being misused. We know that the top sentence is correct because of the following principles:
“Their” is a possessive word and shows ownership over something.
“There” is sort of like a preposition, which defines a word or phrase that precedes a noun or pronoun to show a form of direction.
“They’re” is a contraction, meaning it is a word that is comprised of two words to shorten it. The word “they’re” is comprised of the two words “you are” and is used to shorten the two words.
Because of these principles, we can see that A is the only sentence correctly spelled. In sentence B, it does not make sense to say “she checked there foreheads” because the word “forehead” is not a direction. C would not be valid because the sentence would then say “they are brand new car is shiny and red.” D would be invalid too because even without the word “there” (despite its incorrect spelling), the inclusion of the word “of” in the sentence would already invalidate the entire sentence.
Your final answer: A is spelled correctly. If you need help, let me know and I will gladly assist you.