Final answer:
The valve between the right atrium and ventricle is the tricuspid valve, and the one between the left atrium and ventricle is the mitral valve; both are atrioventricular valves ensuring one-way blood flow and preventing backflow.
Step-by-step explanation:
The valve between the right atrium and the right ventricle is called the tricuspid valve, and the valve between the left atrium and the left ventricle is called the mitral valve or bicuspid valve. These are known as the atrioventricular valves, which are one-way valves located between the atria and ventricles. The right atrioventricular valve, tricuspid valve, has three flaps or leaflets, while the left atrioventricular valve, mitral valve, has two cusps. These valves ensure that blood flows in a single direction from the atria to the ventricles and prevents backflow during the cardiac cycle. Each valve is connected to papillary muscles by chordae tendineae, which control the opening and closing of the valves.