12. The y-axis is NOT the line of reflection for which pair of points?
B(3, –8) → B′(–3, –8)
B(–6, 2) → B′(6, 2)
B(5, –7) → B′(–5, –7)
B(2, –2) → B′(2, 2)

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

Option A: :

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.

Option B: :

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.

Option C: :

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.

Option D: :

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.

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step-by-step explanation: