Final answer:
The given sentence 'Mom cooked a dinner, and she helped me with my homework' is a compound sentence as it contains two independent clauses joined by the coordinating conjunction 'and'.
Step-by-step explanation:
The given sentence 'Mom cooked a dinner, and she helped me with my homework' is a Compound sentence as it contains two independent clauses joined by the coordinating conjunction 'and'. A compound sentence is a sentence that has more than one independent clause. In this case, the two independent clauses are 'Mom cooked a dinner' and 'she helped me with my homework'.