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The Child Tax Credit can be claimed using Form 1040, which is the main tax form used by individuals to report their income and calculate their tax, but it may also require reference to Schedule 8812, which is specifically used to calculate additional amounts related to the Child Tax Credit.

Schedule 8812 is necessary for certain situations, such as when claiming the Additional Child Tax Credit or when there are multiple children involved, and it helps to provide a more accurate calculation based on various factors, such as the taxpayer's income and the number of qualifying children. Therefore, mentioning Schedule 8812 in conjunction with Form 1040 is essential for correctly claiming the credit under applicable situations.

Using only Form 1040 would not account for the additional calculations needed for some taxpayers who qualify for the expanded benefits of the Child Tax Credit. The other forms listed in the answer choices do not relate directly to the Child Tax Credit, making the combination of Form 1040 and Schedule 8812 the appropriate and correct answer.