Which of the following is used to cut different shaped edges on a wooden cabinet door?

The router is a powerful tool specifically designed to cut and shape edges on wood, making it the correct answer for creating different shaped edges on a wooden cabinet door. It operates by spinning a cutting bit at high speeds, allowing for the creation of intricate designs, profiles, and grooves, which are essential for finishing cabinet doors aesthetically and functionally.

Using a router, woodworkers can achieve consistent depth and precision in their cuts, which is particularly important when working with cabinet doors that require a polished appearance or detailed edge work. This capability goes beyond the simpler or more specialized functions of the other tools mentioned.

While saws are primarily used for making straight cuts and can’t create shaped edges effectively, chisels are better suited for precise, controlled carving but do not shape edges in the same manner as a router. Jigsaws are versatile and capable of making curved cuts, but they lack the finesse and design capability that a router provides for edging work.