Find

𝐴

A

and
𝐵

B

if
𝐴

(
0
,

5
)
A (0, 5) and
𝐵

(

10
,


1
)
B (−10, −1) is reflected over the x-axis.

𝐴

A




𝐵

B

1 answer

To reflect a point over the x-axis, you change the sign of the y-coordinate while keeping the x-coordinate the same.

Given the points:

  • \( A(0, 5) \)
  • \( B(-10, -1) \)

We can find the reflections:

  1. For point \( A(0, 5) \): \[ A' = (0, -5) \]

  2. For point \( B(-10, -1) \): \[ B' = (-10, 1) \]

Thus, the reflections are:

  • \( A' (0, -5) \)
  • \( B' (-10, 1) \)