To determine which pairs of points are reflections of each other across the y-axis, we need to remember that for a point \((x, y)\), its reflection across the y-axis will be \((-x, y)\).
Now, let's analyze each pair:
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(13, −11) and (−13, −11):
- The reflection of (13, −11) across the y-axis would be (−13, −11). This pair is a reflection of each other.
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(1, 17) and (1, −17):
- The reflection across the y-axis for (1, 17) would be (−1, 17), and (1, −17) does not match this. This pair is not a reflection of each other.
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(−6, −10) and (6, 10):
- The reflection of (−6, −10) across the y-axis would be (6, −10) (not (6, 10)), and (6, 10) does not match the reflection. This pair is not a reflection of each other.
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(8, 1) and (1, 8):
- The reflection of (8, 1) across the y-axis would be (−8, 1) and (1, 8) does not match this. This pair is not a reflection of each other.
The only pair from your options that is a reflection of each other across the y-axis is:
(13, −11) and (−13, −11).