Isometry is a concept of geometry. Isometry means that one shape can be transformed into another, but metrics such as the arrangement of the points in relation to each other stay the same. An isometry is a special way of changing things that makes sure the distance between every two points stays the same in both places.An isometry is a special kind of function that moves points around from one place to another. Some of these ways include turning objects, moving them in a straight line, flipping them, sliding them, or not moving them at all.