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### Course: High school geometry>Unit 1

Lesson 3: Translations

# Translating shapes

In translations, we slide a shape around on a grid. We use the letter "T" to represent translations. We move every point of the shape a certain distance left or right, and up or down, to create a new shape that's the same size and shape as the original. We call the new shape the image.

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• So... The first # is the x. Then the second one is the y. And when we move those over by how many much they are we go down one too? I'm kind-of lost. (If you can't tell) Can someone please tell me how? I fell dum right now.
• erm what the flip
• never back down never what
• never give up
• You know on an office building would the windows be an example of a translation?
• Yes, as long as they are identical (same size and shape). That's a good way to look at it!
• what is the meaning of life
• i have no clue what im doing in math and im really confused
• You have to use the coordinates given as a guide. So for the transition (8,-1), first what you do is pick a spot where you can move it. So move point A left 8 units because it is on the x-axis and since it is a positive you move it left, if it was negative the point would be moving left.
• chat chat is this real did i just rewatch this 4 times?
• This isn’t a stream -_-
• Like this if you agree that khan academy needs dark mode
• That would be awesome!
If I could like this twice I would, lol.
(1 vote)
• Graph a triangle ABC and perform a translation of (x + 4, y − 3) to create triangle A′B′C′.

Describe the transformation using words. Make sure you refer to the characteristics and the coordinates.
Draw a line through points A and A′ and through points B and B′. What do you notice about the lines you drew? Do you think you would notice the same characteristics if you drew another line through points C and C′? How do you know?
• I don't know about the graph so I can't give you a specific answer, but you need to translate triangle ABC right 4 units and down 3 units. You should notice the lines between the points are of equal distance.
• When you translate a circle, what part of the circle is translated first?