Final answer:
The statements that correctly describe the minuet and trio are that they are both dance forms (C) and that they have contrasting tempos (B). The minuet is not necessarily faster than the trio (A), and the trio is not a solo section but a contrasting middle section (D).
Step-by-step explanation:
The minuet and trio are both part of a larger musical form that was popular during the Classical period, often found in symphonies, sonatas, and chamber music. Statement C is correct: The minuet and trio are dance forms. Historically, the minuet originated as a French dance, and when included in a musical context, it is typically a moderate tempo dance in 3/4 time. The trio section was so named because it was originally written to be played by three instruments or a small ensemble, although the name does not always reflect the actual number of performers in later works.
Statement B is also correct in that the minuet and trio have contrasting tempos, but they do not generally differ drastically. Often, the trio section is slightly lighter and may feel a bit faster, but the idea of a pronounced contrast in tempo between the two sections is not a defining characteristic. Statements A and D are incorrect because usually, the minuet is not specifically faster than the trio and the trio is not necessarily a solo section but refers to the contrasting middle section of this form.