Question

Which of the following pairs of points is a reflection of each other across the y -axis?(1 point) Responses (13, −11) and (−13, −11) Left Parenthesis 13 comma negative 11 Right Parenthesis and Left Parenthesis negative 13 comma negative 11 Right Parenthesis (8, 1) and (1, 8) Left Parenthesis 8 comma 1 Right Parenthesis and Left Parenthesis 1 comma 8 Right Parenthesis (1, 17) and (1, −17) Left Parenthesis 1 comma 17 Right Parenthesis and Left Parenthesis 1 comma negative 17 Right Parenthesis (−6, −10) and (6, 10)

Answer 1

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:

1. **(13, −11) and (−13, −11)**:
- The reflection of \((13, -11)\) across the y-axis is \((-13, -11)\).
- These points are reflections of each other.

2. **(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.

3. **(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.

4. **(−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)**.