The correct response is: No. Even information correctly used for school projects may not be posted on a website without permission.
While Donny created a multimedia project using graphics that he cited, simply citing a source does not automatically grant permission to use that content, especially if it involves posting it on a public website. Fair use is a complex legal doctrine that considers several factors, including the purpose of use, the nature of the copyrighted work, the amount used, and the effect of the use on the market for the original work. In this case, the teacher's intent to post it publicly could infringe on the rights of the original creator (the science museum), and permission would be needed for such a use.