The u. s. supreme court has ruled against all of the following except
a. government written prayers in school.
b. starting a school day with prayer.
c. clergy-led prayers at graduation ceremonies.
d. student led prayer groups in a private home.

The correct answer to the question: The U.S Supreme Court has ruled against all of the following EXCEPT:, would be: Student-led prayer groups in a private home.

Explanation:

The passage of the Freedom of Religion part of the Constitution, effectively abolished the expression of any type of religious devotion, from prayers to any type of symbols, in public spaces, both from government places, to public schools. However, this part of the Ammendments, did not impose the same rigurous treatment to private homes, where people were not prohibited to express their devotion, as long as it did not express itself in public places. This is why the answer is the last one. In private homes, the Ammendment does not apply.

we need the diagram to answer this correctly.