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Translation of Coordinates - Geometry

by Tyler Frazier
(Brooklyn, New York)











































Working with Coordinate Geometry

Need Help

Pure Translation (no rotation)

(x₀, y₀) are the beginning coordinates in the x-y Cartesian coordinate system

(x₁, y₁) are the new coordinates after the translation is complete


What is (-5,2) under the translation of T(3,-4)?

Comments for Translation of Coordinates - Geometry

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Jan 03, 2013
Pure Translations
by: Staff


Answer

To translate the point (-5,2) under the translation of T(3,-4):

           add 3 to the x value

                 (move the point 3 units to the right)

           subtract 4 from the y value

                 (move the point 4 units down)


(x₀, y₀) Under the translation T(3,-4)

           (x₀, y₀) → (x₁, y₁)

           (x₀, y₀) → (x₀+3, y₀-4) → (x₁, y₁)

           (-5, 2) → (-5+3, 2-4) → (-2, -2)


Final Answer:

The new point (x₁, y₁) is (-2,-2)






 Translation of Coordinates – Geometry - translate the point (-5,2) under the translation of (3,-4)










Thanks for writing.

Staff
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