Smiling and making polite remarks to people we do not like is an example of:

A) making another feel embarrassment.
B) exercising power over another.
C) idealizing a personal performance.
D) using tact.

To determine the answer to this question, we need to understand the given options and the concept being described.

Option A) Making another feel embarrassment: Smiling and making polite remarks to someone we do not like might potentially make them feel embarrassed, but this may not be the primary intention.

Option B) Exercising power over another: Smiling and making polite remarks may be used to exert power over someone, but again, it may not be the primary intention in this context.

Option C) Idealizing a personal performance: Idealizing a personal performance refers to thinking highly of one's own abilities or actions. This option does not relate directly to the behavior described in the question.

Option D) Using tact: Tact refers to displaying sensitivity and thoughtfulness in dealing with others, especially in difficult situations. This option aligns more closely with the behavior of smiling and making polite remarks to people we do not like.

Therefore, the answer is D) using tact.

In this scenario, using tact means maintaining a polite and friendly demeanor towards people we may not like or have conflicts with, while still being respectful and considerate in our interactions.