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Translations review

Review the basics of translations, and then perform some translations.

What is a translation?

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
This translation maps triangle, X, Y, Z onto the blue triangle.
The result is a new figure, called the image. The image is congruent to the original figure.
Want to learn more about different types of transformations? Check out this video.

Performing translations

A figure can be moved horizontally along the x axis and vertically along the y axis.
Example:
Translate triangle, L, M, N minus, 4 units in the x direction and minus, 2 units in the y direction.
A translation of minus, 4 units in the x direction results in a shift to the left by 4 units, and a translation of minus, 2 units in the y direction results in a shift down by 2 units.
This translation maps triangle, L, M, N onto the triangle below.
Want to learn more about performing translations? Check out this video.

Practice

Problem 1
  • Current
Draw the image of triangle, A, B, C under a translation by 3 units to the right and 4 units down.

Want to try more problems like this? Check out this exercise.

Want to join the conversation?

  • marcimus pink style avatar for user Keke Pandher
    do not understand why i am getting translations
    wrong when i thought i know how to do it
    (40 votes)
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  • duskpin seed style avatar for user marianny osorio
    it dont come to my head because it dont give a clear explanation
    (12 votes)
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  • aqualine seed style avatar for user anjali.ganapathiraju1523
    So if you move a point -3 points in the x axis does it move left or right?
    (9 votes)
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  • primosaur ultimate style avatar for user 29oquella
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    ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⡄⠀⠀⠑⠄⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣦⣦⣼⡏⠳⣜⢿⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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    ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣠⡄⠀⣿⢹⡇⢸⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿
    (9 votes)
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  • blobby green style avatar for user River  K-R
    can translations overlap?
    (4 votes)
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  • marcimus pink style avatar for user cameronrodriguez6059
    Im Still confused after 3 years
    (6 votes)
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  • starky seedling style avatar for user ty.verdin
    If you have a problem where you must dilate and use transformations to see if one figure is congruent to another, then how would you do that?
    (4 votes)
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  • blobby green style avatar for user kayla.armstrong.06
    i dont think this is a question but doing the problems without an image is really hard to me.
    (4 votes)
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  • leafers seedling style avatar for user araid.alcaidediaz
    abunda la caca
    (5 votes)
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  • aqualine ultimate style avatar for user Chit chat em
    do you really need math or do we just have it?
    (5 votes)
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