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## Basic geometry and measurement

# Determining translations

CCSS.Math:

We can find the translation by figuring out how much the x- and y-coordinates need to change to map one triangle onto the other. We map each point to its corresponding point in the other triangle. Moving left means the translation of x is negative, and moving down means the translation of y is negative..

## Want to join the conversation?

- I can't translate Point B'(6,-5) B(-5,-2)

It doesn't make any sense?(15 votes)- I am not positive about what you are asking, but I will do my best:

B is a point on a graph. It is 5 points to the left of the Y-axis (-5). B is also 2 points below the X-axis (-2). B's coordinates are x:-5 y:-2 or (-5,-2).

B' is a movement of B on the graph. That little apostrophe is how you know it is not the original. B' is 6 points to the right of the Y-axis and 5 points below the X-axis. So B''s coordinates are x:6 and y:-5 or (6,-5).

The difference between these points can be found with subtraction:

X: 6-(-5)=11

B's X coordinate moved 11 units to get to B'.

Y:-5-(-2)=-3

B's Y coordinate moved -3 units to get to B'.

B' is a translation of B by (11,-3)

I hope this helped (:(30 votes)

- If someone says to you "Point Q'(3,2) is the image of Q(6,4) under a translation. Determine the translation." Then what do you do? I think the translation is 3 units to the right and two units up, but Khan Academy says that it is wrong.(11 votes)
- whats B' (-3,-4) is the image of B after a reflection in the y-axis, What are the coordinates of B?

translations(8 votes)- Where are you reflecting?

Like where is the mirror line going and its slope?(9 votes)

- i dont really understand the problem without the graph(10 votes)
- the blue triangle is the preimage and the grey triangle is the triangle that we want the image to match to.(5 votes)

- hey guys if you have a problem this can help

Point A′(2,3) is the image of A(3,−4) under a translation.

Determine the translation.

Use non-negative numbers.(7 votes)- In that case, you will say translate 1 unit to the left and 7 units up instead of (-1,7). Please let me know if that doesn't answer your question.(4 votes)

- Is this program ran in Asia?(3 votes)
- Yes, I think Khan Academy is available anywhere. It should be available in Asia.(4 votes)

- for this video he showed an easier example than the problems I am actually doing(3 votes)
- What does this mean? Point P'(1,5) is the image of P(-3,1) under a translation. Please help me.(1 vote)
- It means the point P is translated. The point after the translation is P' (called P prime). P starts at the point (-3,1) and after the translation, P' (the new point - basically P after the translation) is (1,5). Let me know if this did not help(2 votes)

## Video transcript

- [Voiceover] We're asked
to use the translation tool to determine the translation that will map triangle WIN, so this right over here, onto the other triangle. So let's see if we can
translate this thing. So I'm gonna use the translation tool. So I'm gonna start with the translation. So it says translate by, and this is gonna say so
how much do we translate the x coordinates, and how much do we translate the y coordinates? Let's see, if I want to map, if I want to get point W to correspond to this point right over here, which it seems like it should, I would have to go from x equals two, to x equals negative five. So my x would have to decrease by seven, so let me type that in. Negative seven, and then, let's see, on the y side, and we saw that, by just typing in negative seven, here we moved it to the left by seven. And now, in the y axis, I need to move it down by, let's see, one, two, three, four. So my y coordinates, I
move it down by four. And let's see. What happens? And it looks like I was able
to successfully translate it by translating x by negative seven, every point here, every point on this has been shifted
to the left by seven, and has been shifted down by four. And I was able to get onto this triangle. I was able to, through the translation, the image is now in kind
of that target triangle that they asked me to map to, to translate to. We got it right.