Question

Which of the following pairs of points is a reflection of each other across the y -axis? Responses (13, −11) and (−13, −11) (13, −11) and (−13, −11) - no response given (1, 17) and (1, −17) (1, 17) and (1, −17) - no response given (−6, −10) and (6, 10) (−6, −10) and (6, 10) - no response given (8, 1) and (1, 8)

Answer 1

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:

1. (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.

2. (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.

3. (−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.

4. (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).