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## Geometry (all content)

### Course: Geometry (all content) > Unit 10

Lesson 2: Translations# 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.*

## Want to join the conversation?

- do not understand why i am getting translations

wrong when i thought i know how to do it(40 votes)- I know "Right"!(6 votes)

- it dont come to my head because it dont give a clear explanation(12 votes)
- So if you move a point -3 points in the x axis does it move left or right?(9 votes)
- If you move a point -3 in the x direction (not axis), then it moves to the left.(11 votes)

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣠⡄⠀⣿⢹⡇⢸⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿(9 votes) - can translations overlap?(4 votes)
- It depends because if it were fully overlapping then it would no longer be a translation, but if you mean slightly overlap then it can happen(7 votes)

- Im Still confused after 3 years(6 votes)
- 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)
- Hi. You can use the rule of three or find a proportion. Both methods work.

Hope I have helped :)(5 votes)

- i dont think this is a question but doing the problems without an image is really hard to me.(4 votes)
- What helps me is to look at the differences.

Say you had Y' is Y under a translation. Y' is (7, 9) and Y is (3, 2).

First, you would take the translated (Y') and subtract from the original (Y).

Basically, your answer would be (7-3, 9-2).

So, your final answer is (4 units right, 7 units up).

Hope this helps you 😁(3 votes)

- do you really need math or do we just have it?(5 votes)