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Write a rule in both coordinate notation in vector notation to represent the translation of a parallelogram to the right

Write A Rule In Both Coordinate Notation In Vector Notation To Represent The Translation Of A Parallelogram To The Right class=

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xero099

The rule in vector notation for the translation to the right is described by the following formula:

[tex]V'(x,y) = V(x,y) + (9, -4)[/tex]

Vectorially speaking, a translation is described by the following expression:

[tex]V'(x,y) = V(x,y) + T(x,y)[/tex] (1)

Where:

  • [tex]V(x,y)[/tex] - Original point.
  • [tex]V' (x,y)[/tex] - Translated point.
  • [tex]T(x,y)[/tex] - Translation vector.

By direct inspection we see that parallelogram C'D'E'F' translated to the right is moved 9 in +x direction and 4 in -y direction. Hence, the translation vector is equal to:

[tex]T(x,y) = (9, -4)[/tex]

And the rule in vector notation for the translation to the right is described by the following formula:

[tex]V'(x,y) = V(x,y) + (9, -4)[/tex]

We kindly invite to check this question on translations: https://brainly.com/question/12463306

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