👉 In geometry, a homothety is a transformation that takes an object to its own image. This means it transforms any shape into itself and is defined by two points on the original object and a ratio of their distances from each other. The basic form of a homothety is x:y -> y:x, where x is the scale factor (the factor by which the distance between the two points is scaled) and y is the scale factor (the factor by which the length of each side of
