Geometry (all content)
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.
A figure can be moved horizontally along the axis and vertically along the axis.
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.
Draw the image of under a translation by units to the right and 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(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)
- 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)