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- [Voiceover] Triangle ABC[br]undergoes a translation,

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and we're using the[br]notation capital T for it,

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and then we see what the[br]translation has to be.

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We're gonna move,

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it's kind of small, I hope you can see it

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on your video screen.

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We're gonna move positive eight.

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Every point here is[br]gonna move positive eight

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in the x direction.

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Its x coordinate is going[br]to increase by eight,

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or the corresponding point in the image,

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its x coordinate, is going[br]to increase by eight,

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and the corresponding point

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in the image's y coordinate

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is going to decrease by[br]one, so let's do that.

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And I'll focus on the vertices,

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whoops, let me drag that to the trash,

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I didn't mean to do that.

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I'm going to focus on the vertices

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well, that's just the[br]easiest thing for my brain

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to worth with.

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And actually, this is what[br]the tool expects as well.

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So the point B, is going to move eight

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to the right, or its corresponding point

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in the image is going[br]to have an x coordinate

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eight larger.

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So right now, the x[br]coordinate is negative four,

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if you added eight to that,

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it would be positive four,

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and its y coordinate is going

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to be one lower.

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Right now, point B's[br]y coordinate is eight,

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one lower than that is seven.

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So, in the image, the corresponding

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point of the image would[br]going to be right over there.

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And you see we moved eight to the right,

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and one down.

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Let's do that with point C.

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It's at x equals negative seven,

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if you move eight to the right,

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if you increase your[br]x coordinate by eight,

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you're gonna move to x equals one,

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and then if you change your y coordinate

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by negative one, you're[br]gonna move down one,

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then you're gonna get to that point

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right over there.

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Now, let's do it with point A.

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So point A's x coordinate is negative one.

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If you add eight to it,

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it's going to be positive seven,

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and its current y coordinate is two.

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If you take one away from it,

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you're gonna get to a y coordinate of one.

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And so there you have it.

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Let's see, how do I connect these two?

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Oh, there you go,

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and we can check our answer.

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And we got it right.

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We have performed the translation.