To determine which pairs of points are reflections of each other across the y-axis, we need to understand the property of reflection over the y-axis. When a point \((x, y)\) is reflected across the y-axis, the resulting point 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 is \((-13, -11)\).
- These points are reflections of each other.
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(8, 1) and (1, 8):
- The reflection of \((8, 1)\) across the y-axis would be \((-8, 1)\), not \((1, 8)\).
- These points are not reflections of each other.
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(1, 17) and (1, −17):
- The reflection of \((1, 17)\) across the y-axis would be \((-1, 17)\), not \((1, -17)\).
- These points are not reflections of each other.
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(−6, −10) and (6, 10):
- The reflection of \((-6, -10)\) across the y-axis is \((6, -10)\), not \((6, 10)\).
- These points are not reflections of each other.
The only pair that is a reflection of each other across the y-axis is (13, −11) and (−13, −11).