One possible synonym for the phrase "give a reflection of" is "mirror." When we say that something mirrors or reflects another thing, we are essentially saying that it provides a clear and accurate picture of that thing. Other potential synonyms for this phrase might include "depict," "portray," or "convey." All of these terms suggest a degree of accuracy and faithfulness to the original object or idea. Essentially, when we talk about giving a reflection of something, we are asking for a representation that is as close to the real thing as possible, whether that representation is in the form of a reflection in a mirror or a description in words.