Which of the following pairs of points is a reflection of each other across the y

Question

-axis?(1 point)
Responses

(8, 1)
and (1, 8)
Left Parenthesis 8 comma 1 Right Parenthesis and Left Parenthesis 1 comma 8 Right Parenthesis

(−6, −10)
and (6, 10)
Left Parenthesis negative 6 comma negative 10 Right Parenthesis and Left Parenthesis 6 comma 10 Right Parenthesis

(13, −11)
and (−13, −11)
Left Parenthesis 13 comma negative 11 Right Parenthesis and Left Parenthesis negative 13 comma negative 11 Right Parenthesis

(1, 17)
and (1, −17)

Answer 1

To determine which pairs of points are reflections of each other across the y-axis, we need to remember that if a point is reflected across the y-axis, the x-coordinate changes sign while the y-coordinate remains the same.

Let's analyze each pair:

1. (8, 1) and (1, 8):

   • The x-coordinates are not negatives of each other (8 and 1), so they are not reflections across the y-axis.

2. (−6, −10) and (6, 10):

   • The x-coordinates are negatives of each other (-6 and 6), but the y-coordinates are not the same (-10 and 10), so they are not reflections across the y-axis.

3. (13, −11) and (−13, −11):

   • The x-coordinates are negatives of each other (13 and -13), and the y-coordinates are the same (-11 and -11). Thus, these points are reflections of each other across the y-axis.

4. (1, 17) and (1, −17):

   • The x-coordinates are the same (1 and 1), while the y-coordinates are negatives of each other (17 and -17). These points are reflections across the x-axis, not the y-axis.

Based on this analysis, the pair that is a reflection of each other across the y-axis is:

(13, −11) and (−13, −11).