Option D: is the pair of points which does not have y - axis as the line of reflection.
Explanation:
The translation rule to reflect the pair of points across the y - axis is given by
<u>Option A</u>: :
Let us translate the coordinate B(3,-8) across y - axis using the translation rule , we get,
Thus, we get,
Hence, the pair of points has the line of reflection across y - axis.
Therefore, Option A is not the correct answer.
<u>Option B</u>: :
Let us translate the coordinate B(-6,2) across y - axis using the translation rule , we get,
Thus, we get,
Hence, the pair of points has the line of reflection across y - axis.
Therefore, Option B is not the correct answer.
<u>Option C</u>: :
Let us translate the coordinate B(5,-7) across y - axis using the translation rule , we get,
Thus, we get,
Hence, the pair of points has the line of reflection across y - axis.
Therefore, Option C is not the correct answer.
<u>Option D</u>: :
Let us translate the coordinate B(2,-2) across y - axis using the translation rule , we get,
Thus, we get,
Hence, the pair of points does not has the line of reflection across y - axis.
Therefore, Option D is the correct answer.