One similarity between the united states supreme court and the british house of lords is that:

a. they are both appointed for life.
b. they both can judge whether a law is in guideline with the constitution
c. they both can judge the behavior of a high ranking official

The answer is letter C. They are both appointed for life. The House of Lords is the upper house of the Parliament of the United Kingdom, it is also known as the House of Peers. The highest federal court is the Supreme Court of the United States. The Court influence the Judicial Branch of the United States.

the president has the power to appoint federal judges, ambassadors, and other "principal officers” of the united states, subject to senate confirmation of such appointments.