Definition: In mathematics, an isometry (or isomorphism) in geometry refers to a transformation that preserves distances between points. This can be thought of as a rotation or reflection with respect to the same point, but it also includes translations and dilations. For instance, consider two points A and B on a line L. If we apply an isometric transformation to them by translating them both 3 units in the opposite direction (to get from A to B), then the distance between A and B
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