I am told that the statement, "Triangle XYZ is similar to triangle RST", is a mathematical statement.
A mathematical statement is a statement that is either true or false.
My thoughts were that this cannot be a mathematical statement, since the language used is imprecise and ambiguous. In saying that something is 'similar' to something else is subjective, and cannot be considered to be definitively true or false.
However, my textbook says that it is a mathematical statement. Why is my reasoning incorrect? How should I reason about this?
Thank you.
"Similar," in this case, is a technical mathematical term. (And if you think that's bad, so is "mouse".)