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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 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 axis and vertically along the axis.
Example:
Translate units in the direction and units in the direction.
A translation of units in the direction results in a shift to the left by units, and a translation of units in the direction results in a shift down by units.
This translation maps 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(48 votes)- I know "Right"!(7 votes)
- “Sir this is a Wendy’s”(15 votes)
- ok can i have uhhhhh a grimace shake pls(0 votes)
- Im Still confused after 3 years(14 votes)
- it dont come to my head because it dont give a clear explanation(12 votes)
- It might seem that way but just try to solve it the best you can and you'll eventually learn from your mistakes(0 votes)
- So if you move a point -3 points in the x axis does it move left or right?(7 votes)
- If you move a point -3 in the x direction (not axis), then it moves to the left.(11 votes)
- 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?(9 votes) - 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(7 votes) - help me am soooo dumb.(7 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 :)(6 votes)
- can translations overlap?(3 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(8 votes)