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In the coordinate plane, the point is translated to the point . Under the same translation, the points and are translated to and , respectively. What are the coordinates of and ?

Any translation sends a point to a point .

For the point in the problem, we have the following. So we have . Solving for and , we get and .

So the translation is unit to the right and units up. See Figure 1. We can now find and .

They come from the same translation: unit to the right and units up. The three points and their translations are shown in Figure 2.

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Q: How to translate the coordinates of a point?
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