A hinge joint allows movement along one plane, like the opening and closing of a door. Option 2, the elbow, is indeed a hinge joint. It enables flexion and extension of the forearm, with the upper arm serving as the fixed point. The elbow joint consists of three bones, the humerus, ulna, and radius, which work together to facilitate movement.

Option 1, the hip, is a ball-and-socket joint, allowing for a wide range of motion in multiple directions. Option 3, the shoulder, is also a ball-and-socket joint, permitting extensive movement. Option 4, the wrist, is a complex joint that enables a combination of movements, including flexion, extension, abduction, adduction, and circumduction.

Therefore, the correct answer is option 2: Elbow.