Final answer:
The correct answer is the Law of Syllogism.
Step-by-step explanation:
The correct answer to this question is the Law of Syllogism.
The Law of Detachment states that if a conditional statement is true and its hypothesis is true, then its conclusion must also be true. In this case, the conditional statement is 'If you get an A on your math test, then you can choose where to go to dinner'. The hypothesis is 'You get an A on your math test'. Therefore, the conclusion is 'You can choose where to go to dinner'.
The Law of Syllogism states that if the conclusion of one conditional statement is the hypothesis of another conditional statement, then you can combine the two statements to form a new valid conditional statement. In this case, the first conditional statement is 'If you get an A on your math test, then you can choose where to go to dinner'. The second conditional statement is 'If you can choose where to dinner, then you can go to your favorite restaurant'. Combining these two statements, the new valid conditional statement is 'If you get an A on your math test, then you can go to your favorite restaurant'.