Which assembly relationship defines the travel of an under-constrained component by relating it to a sketch?

The path relationship is designed to control the movement of an under-constrained component by linking it to a defined path or sketch. This is particularly useful in assembly modeling where you want a component to follow a specific trajectory. The path can be a spline, line, or any delineated sketch that guides the component's travel, ensuring it moves in a desired manner during assembly manipulation.

When an under-constrained component is related to a sketch through a path relationship, it enables the designer to create dynamic assemblies where components can move along predetermined routes. This technique is commonly utilized to simulate mechanisms, such as hinges or sliders, which rely on specific movement patterns during operation.

Other relationships like the parent-child relationship focus on the hierarchical connection between components rather than movement paths. The angle relationship governs rotational aspects between two components, and the linear relationship pertains to the translation of components along a straight line. However, none of these specifically define the travel or path following of a component as effectively as the path relationship does.