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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.
  
 

 

The views expressed in the notes here are those of the contributor and don’t necessarily represent the views of pandai.

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.
  
 

 

The views expressed in the notes here are those of the contributor and don’t necessarily represent the views of pandai.
Chapter : Isometric Transformations
Topic : Translation, Reflection and Rotation as an Isometry
Form 2 Mathematics
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