Select the most appropriate one-word substitution for the given group of words.

To give one’s authority to another

delegate

The most appropriate one-word substitution for "to give one's authority to another" is delegate.

The other words in the options, usurp, shirk, and supervise, do not mean the same thing.

• Usurp means to seize power or authority illegally or by force.
• Shirk means to avoid or evade one's duties or responsibilities.
• Supervise means to oversee or direct the work of others.

To delegate is to give one's authority to another person to perform a task or duty. It is a way of sharing responsibility and empowering others.