Final answer:
Citizens vote and elect representatives in a Representative Democracy and a Parliamentary system. These forms of government involve electing officials who represent the people's interests in the national legislature and make laws on their behalf.
Step-by-step explanation:
The types of governments where citizens vote and elect representatives to a national legislature are Representative Democracy and a Parliamentary system. In these systems, the public exercises its political power by choosing individuals to make laws and decisions on their behalf. A Representative Democracy operates on the principle that elected officials represent the interests of their constituents within the legislature, making and implementing laws according to majority rule while protecting minority rights. In contrast, a Parliamentary system blends the executive and legislative branches, with the prime minister, who is typically the head of government, being appointed by the legislature out of its elected members. Both systems emphasize the importance of elected representation and majority rule while safeguarding civil rights and operating under a social contract.