Question

Given the translation T(-2, 5), translate the given ordered pairs: (2, 5) and (-1, 7). Which option is correct?

a) (4, 10) and (1, 12)
b) (0, 10) and (-3, 12)
c) (0, 0) and (-3, 2)
d) (4, 10) and (1, 2)

Answer 1

To translate the ordered pairs (2, 5) and (-1, 7) using the translation T(-2, 5), we subtract the x-coordinate of the translation from the x-coordinate of the point, and subtract the y-coordinate of the translation from the y-coordinate of the point.

Step-by-step explanation:

To translate the ordered pairs (2, 5) and (-1, 7) using the translation T(-2, 5), we need to apply the same translation to each point. To do this, we subtract the x-coordinate of the translation from the x-coordinate of the point, and subtract the y-coordinate of the translation from the y-coordinate of the point.

For the point (2, 5), the translation results in (2 - (-2), 5 - 5) = (4, 0).

For the point (-1, 7), the translation results in (-1 - (-2), 7 - 5) = (1, 2).

Therefore, option d) (4, 0) and (1, 2) is correct.