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.

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?

Hi. You can use the rule of three or find a proportion. Both methods work. Hope I have helped :)

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

Main content

Course: MAP Recommended Practice > Unit 9

Lesson 9: Translations

Translations review

Google Classroom

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

△ 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

△ L M N

- 4

units in the

x

direction and

- 2

units in the

y

direction.

A translation of

- 4

units in the

x

direction results in a shift to the left by

4

units, and a translation of

- 2

units in the

y

direction results in a shift down by

2

units.

This translation maps

△ L M N

onto the triangle below.

Want to learn more about performing translations? Check out this video.

Practice

Problem 1

Draw the image of $△ A B C$ ‍ 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?

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Keke Pandher
Posted 7 years ago. Direct link to Keke Pandher's post “do not understand why i a...”
do not understand why i am getting translations
wrong when i thought i know how to do it
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- ibishop26
  Posted 3 years ago. Direct link to ibishop26's post “I know "Right"!”
  I know "Right"!
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Im Still confused after 3 years
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Connor Warner 🥫
Posted 9 months ago. Direct link to Connor Warner 🥫's post ““Sir this is a Wendy’s””
“Sir this is a Wendy’s”
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- neocardinialordYT
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  ok can i have uhhhhh a grimace shake pls
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marianny osorio
Posted 6 years ago. Direct link to marianny osorio's post “it dont come to my head b...”
it dont come to my head because it dont give a clear explanation
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- Blake Gould
  Posted 5 months ago. Direct link to Blake Gould's post “It might seem that way bu...”
  It might seem that way but just try to solve it the best you can and you'll eventually learn from your mistakes
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anjali.ganapathiraju1523
Posted 5 years ago. Direct link to anjali.ganapathiraju1523's post “So if you move a point -3...”
So if you move a point -3 points in the x axis does it move left or right?
Button navigates to signup pageComment on anjali.ganapathiraju1523's post “So if you move a point -3...”
(7 votes)
Answer
- David Severin
  Posted 5 years ago. Direct link to David Severin's post “If you move a point -3 in...”
  If you move a point -3 in the x direction (not axis), then it moves to the left.
  Comment on David Severin's post “If you move a point -3 in...”
  (11 votes)
Ayana (◕ᴗ◕✿)
Posted 9 months ago. Direct link to Ayana (◕ᴗ◕✿)'s post “Honestly, i thought trans...”
Honestly, i thought translations, rotations, reflections and dilations would be hard as i just came from 7th grade. Turns out it's easier than the 7th grade math, Lol-

Also, Has math always been this easy or is it just me?
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Answer
goonytune
Posted 5 months ago. Direct link to goonytune's post “For the people that don’t...”
For the people that don’t get it, here’s a summary and I’ll try to make it as simple as possible

Anything that moves left and right is the x-axis
Anything that moves up and down is the y-axis

If you want to find out the translation:
Get your first coordinate and subtract by either x or y and there’s your answer.

X-axis
If the x of your first coordinate is negative and the x of your second coordinate is positive, it has moved right

If the x of your first coordinate is positive and the x of your second coordinate is negative, it has moved left

Y-axis
If the y of your first coordinate is positive and the y of your second coordinate is negative, it has moved down

If the y of your first coordinate is negative and the y of your second coordinate is positive, it has moved up
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JurgenL
Posted 9 months ago. Direct link to JurgenL's post “help me am soooo dumb.”
help me am soooo dumb.
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- Rida Elhour
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  skill issue
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ty.verdin
Posted 6 years ago. Direct link to ty.verdin's post “If you have a problem whe...”
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?
Button navigates to signup pageComment on ty.verdin's post “If you have a problem whe...”
(4 votes)
Answer
- Zéca
  Posted 6 years ago. Direct link to Zéca's post “Hi. You can use the rule ...”
  Hi. You can use the rule of three or find a proportion. Both methods work.
  Hope I have helped :)
  Button navigates to signup page
  (6 votes)
River K-R
Posted 4 years ago. Direct link to River K-R's post “can translations overlap?”
can translations overlap?
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(3 votes)
Answer
- awesomeboy007
  Posted 4 years ago. Direct link to awesomeboy007's post “It depends because if it ...”
  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
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  (8 votes)