If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

# Translating shapes

CCSS.Math:

## Video transcript

triangle ABC undergoes the translation and we show in our we're using the notation capital T for it and then we tell us we see what the transfer what the translation has to be we're going to move we're going to move it's kind of small I hope you can see it on your video screen we're going to move positive eight every point here is going to move positive eight in the x-direction its x-coordinate is going to increase by eight and or the corresponding point in the image is x-coordinate is going to increase by eight and the corresponding point of the image is y-coordinate is going to decrease by one so let's do that and I'll focus on the vertices whoops let me drag that to the trash I didn't mean to do that I'm going to focus on the I'm going to focus on the vertices because that's well that's the easiest thing for my brain to work with so and actually this is what the tool expects as well so the point B is going to move eight to the right or its corresponding point in the image is going to have an x-coordinate eight larger so right now the x-coordinate is negative four if you added eight to that it would be positive four and its y-coordinate going to be one lower right now point B's y-coordinate is eight one lower than that is seven so in the image the corresponding point in the image would be right over there and you see we moved eight to the right and one down let's do that with Point C it's at x equals negative seven if you move eight to the right if you increase your x coordinate by eight you're going to move to x equals one and then if you change your y-coordinate by negative one you're going to move down one then you get to that point right over there now let's do it with point point a so point a is x-coordinate is negative one if you add eight to it it's going to be positive seven and its current y-coordinate is 2 if you take one away from it you're going to get to a y-coordinate of one and so there there you have it let's see how do I connect how do i connect these two oh there you go and we can check our answer and we got it right we have performed the translation