According to the National Museum of Health and Medicine, muscles attach to stationary bone by ligaments, which are attached to a point on the bone called the origin. Ligaments are composed of cartilaginous tissue, which is fibrous and tough.
On movable bones that are parts of joints, muscles attach to the bone on a point called the insertion instead. Additionally, on movable bones or joints, the connective tissue is called a tendon instead of a ligament. Tendons and ligaments are made of the same fibrous, cartilaginous tissue, but tendons have a greater range of motion and are more flexible in nature.