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### Course: 8th grade>Unit 6

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.

## 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?

• do not understand why i am getting translations
wrong when i thought i know how to do it
• I know "Right"!
• it dont come to my head because it dont give a clear explanation
• So if you move a point -3 points in the x axis does it move left or right?
• If you move a point -3 in the x direction (not axis), then it moves to the left.
• can translations overlap?
• 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
• i dont think this is a question but doing the problems without an image is really hard to me.
• 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 😁
• 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?