Translation, Reflection and Rotation as an Isometry

Mathematics

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Translation, Reflection and Rotation as an Isometry

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Definition of transformation

The process of changing the position, orientation or size of an object by translation, reflection, rotation and enlargement

Definition of congruent

About the same shape and the same size

Definition of translation

A transformation that moves all points on a plane in the same direction and through the same distance

Definition of reflection

A transformation where all the points on a plane are flipped along a line known as the axis of reflection

Definition of rotation

A transformation where all points on a plane are rotated in the same direction and through the same angle about a fixed point known as the centre of rotation

Definition of isometry

A transformation that preserves the distance between any two points when an object is mapped to its image

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Translation, Reflection and Rotation as an Isometry

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