Question

A(7,2) becomes A'(10,-1) through a translation. B'(2,4) is the result of the same

translation on point B. What are the coordinates of point B?
O B(5,7)
OB(-1,7)
O B(-1,1)
O B(5,1)

Answer 1

The coordinate of point B is (-1,1) after a translation.

Step-by-step explanation:

To find the coordinates of point B, we can use the concept of translations. A translation moves a point in a straight line without changing its shape or orientation. In this case, the translation moves point A from (7,2) to (10,-1), so the x-coordinate increases by 3 and the y-coordinate decreases by 3. Applying the same translation to point B'(2,4), we need to subtract 3 from the x-coordinate and subtract 3 from the y-coordinate. Therefore, the coordinates of point B are (2-3,4-3), which simplifies to B(-1,1).

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