Final answer:
The Russian constitution supports the right of people to use their native language, particularly in republics that are home to certain ethnic minorities. It also recognizes the freedom of movement and residence within the country's borders.
Step-by-step explanation:
The current Russian constitution guarantees certain rights to its citizens. Among these rights, the right to use one's native language is supported. This means that in the republics within Russia, which are designed to accommodate specific ethnic minorities, there are provisions to have official languages other than Russian.
Other rights like the right to freedom and the ability to choose one's residence within the country, are also recognized. This aligns with principles found in international human rights documents like the Universal Declaration of Human Rights, which affirms the right of everyone to freedom of movement within the borders of each state.
However, the provided statements from the USSR era regarding freedoms of speech, press, assembly, and procession do not directly relate to the current Russian constitution's provisions. Instead, they reflect past guarantees which may differ significantly from current practices and laws.