In mathematics, we use a large and very specialized vocabulary. Mathematics is a science.
Science requires precision.
So we must be very careful about how we use our math words, to make sure that we are not distorting their meanings. If we are not perfectly clear about what we are saying mathematically, our statements will probably turn out to be incorrect, if not downright meaningless. It is not too hard to use math-only words correctly, as long as we pay attention to the definitions. But words that have common meaning that have been borrowed by mathematics, or that have been borrowed from mathematics, need extra care. They both have the same number of sides and right angles at all the corners.