Which of the following pairs of points is a reflection of each other across the x-axis?

Question

Use the coordinate grid to help you find the answer.


(1 point)
Responses

(-5, -7) and (5, -7)
(-5, -7) and (5, -7)

(8, 1) and (1, 8)
(8, 1) and (1, 8)

(4, -5) and (-4, -5)
(4, -5) and (-4, -5)

(2, 6) and (2, -6)
(2, 6) and (2, -6)
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Answer 1

To find which pairs of points are reflections of each other across the x-axis, we need to check if the y-coordinates of the points in each pair are equal in magnitude but opposite in sign.

1. (-5, -7) and (5, -7):

   • Points: y-coordinates are both -7, and x-coordinates (-5 and 5) don't matter for reflection across the x-axis.
   • Not a reflection.

2. (8, 1) and (1, 8):

   • Points: y-coordinates are 1 and 8, which are not opposites.
   • Not a reflection.

3. (4, -5) and (-4, -5):

   • Points: y-coordinates are both -5, and x-coordinates (-4 and 4) don't matter for reflection across the x-axis.
   • Not a reflection.

4. (2, 6) and (2, -6):

   • Points: y-coordinates are 6 and -6, which are opposites (6 and -6).
   • This is a reflection.

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

(2, 6) and (2, -6).