Translation, Reflection and Rotation as an Isometry

11.5

Translation, Reflection and Rotation as an Isometry

Relationship between translation, reflection and rotation as isometry:

If an object is mapped to a congruent image, then it is an isometry. Isometry is a transformation that maintains the distance between any two points on the original object. The isometric transformation will retain the original shape and size of the object.

Relationship between the isometry and congruence:

Under an isometry, objects and images are of equal shape and size. Therefore, objects and images are congruent. Isometry is a transformation where the image is congruent with the object.