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Here's an example:
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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