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.