Isometry
A translation that preserves length,angle,measure, and area- image congruent to pre image
Isometry in geometry refers to a transformation that preserves the size, shape, and orientation of a figure. In simpler terms, it is a type of transformation that maps geometrical figures onto themselves while preserving their original measurements such as distance, angle, and size. Isometries are also sometimes referred to as congruence transformations because they preserve the congruency of objects.
The most common isometries are reflections, rotations, and translations. Reflections are transformations that flip objects over a line of symmetry. Rotations occur when an object is turned around a fixed point, while translations move objects along a straight line.
Isometries are important in many areas of mathematics and physics, including group theory, crystallography, and space-time geometry. One important application of isometries is in computer graphics, where they are used to reposition and animate shapes in 3D space.
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